{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# pomegranate / sklearn GMM comparison\n",
    "\n",
    "authors: <br>\n",
    "Nicholas Farn (nicholasfarn@gmail.com) <br>\n",
    "Jacob Schreiber (jmschreiber91@gmail.com)\n",
    "\n",
    "<a href=\"https://github.com/scikit-learn/scikit-learn\">sklearn</a> is a very popular machine learning package for Python which implements a wide variety of classical machine learning algorithms. In this notebook we benchmark the GMM implementations in pomegranate and compare it to the implementation in sklearn. In sklearn, GMM refers exclusively to Gaussian mixture models, while in pomegranate it refers to General mixture models, as it is flexible enough to allow any combination of distributions or models to be used as components.\n",
    "\n",
    "However, a simpler version of the GMM is kmeans clustering. Both pomegranate and sklearn implement these, so lets take a look at those first."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "import seaborn, time\n",
    "seaborn.set_style('whitegrid')\n",
    "\n",
    "from sklearn.mixture import GMM\n",
    "from sklearn.cluster import KMeans\n",
    "from pomegranate import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets create some functions to evaluate models efficiently. We can start with fitting and predicting against an increasing data size. The data we compare against are Gaussian blobs which are 3 standard deviations away from each other to allow for some, but not a lot of, overlap."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def create_dataset(n_samples, n_dim, n_classes):\n",
    "    \"\"\"Create a random dataset with n_samples in each class.\"\"\"\n",
    "    \n",
    "    X = numpy.concatenate([numpy.random.randn(n_samples, n_dim) + i*3 for i in range(n_classes)])\n",
    "    y = numpy.concatenate([numpy.zeros(n_samples) + i for i in range(n_classes)])\n",
    "    return X, y\n",
    "\n",
    "def plot( fit, predict, skl_error, pom_error, sizes, xlabel ):\n",
    "    \"\"\"Plot the results.\"\"\"\n",
    "    \n",
    "    idx = numpy.arange(fit.shape[1])\n",
    "    \n",
    "    plt.figure( figsize=(14, 4))\n",
    "    plt.plot( fit.mean(axis=0), c='c', label=\"Fitting\")\n",
    "    plt.plot( predict.mean(axis=0), c='m', label=\"Prediction\")\n",
    "    plt.plot( [0, fit.shape[1]], [1, 1], c='k', label=\"Baseline\" )\n",
    "    \n",
    "    plt.fill_between( idx, fit.min(axis=0), fit.max(axis=0), color='c', alpha=0.3 )\n",
    "    plt.fill_between( idx, predict.min(axis=0), predict.max(axis=0), color='m', alpha=0.3 )\n",
    "    \n",
    "    plt.xticks(idx, sizes, rotation=65, fontsize=14)\n",
    "    plt.xlabel('{}'.format(xlabel), fontsize=14)\n",
    "    plt.ylabel('pomegranate is x times faster', fontsize=14)\n",
    "    plt.legend(fontsize=12, loc=4)\n",
    "    plt.show()\n",
    "    \n",
    "    \n",
    "    plt.figure( figsize=(14, 4))\n",
    "    plt.plot( 1 - skl_error.mean(axis=0), alpha=0.5, c='c', label=\"sklearn accuracy\" )\n",
    "    plt.plot( 1 - pom_error.mean(axis=0), alpha=0.5, c='m', label=\"pomegranate accuracy\" )\n",
    "    \n",
    "    plt.fill_between( idx, 1-skl_error.min(axis=0), 1-skl_error.max(axis=0), color='c', alpha=0.3 )\n",
    "    plt.fill_between( idx, 1-pom_error.min(axis=0), 1-pom_error.max(axis=0), color='m', alpha=0.3 )\n",
    "    \n",
    "    plt.xticks( idx, sizes, rotation=65, fontsize=14)\n",
    "    plt.xlabel( '{}'.format(xlabel), fontsize=14)\n",
    "    plt.ylabel('Accuracy', fontsize=14)\n",
    "    plt.legend(fontsize=14) \n",
    "    plt.show()\n",
    "    \n",
    "def evaluate_kmeans():\n",
    "    sizes = numpy.around( numpy.exp( numpy.arange(8, 16) ) ).astype('int')\n",
    "    n, m = sizes.shape[0], 20\n",
    "    \n",
    "    skl_predict, pom_predict = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    skl_fit, pom_fit = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    skl_error, pom_error = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "\n",
    "    for i in range(m):\n",
    "        for j, size in enumerate(sizes):\n",
    "            X, y = create_dataset( size, 1, 2 )\n",
    "\n",
    "            pom = Kmeans(2)\n",
    "            skl = KMeans(2, max_iter=1, n_init=1, precompute_distances=True, init=X[:2].copy())\n",
    "\n",
    "            # bench fit times\n",
    "            tic = time.time()\n",
    "            skl.fit( X )\n",
    "            skl_fit[i, j] = time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom.fit( X, max_iterations=1 )\n",
    "            pom_fit[i, j] = time.time() - tic\n",
    "\n",
    "            # bench predict times\n",
    "            tic = time.time()\n",
    "            skl_predictions = skl.predict( X )\n",
    "            skl_predict[i, j] = time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom_predictions = pom.predict( X )\n",
    "            pom_predict[i, j] = time.time() - tic\n",
    "\n",
    "            # check number wrong\n",
    "            skl_e = (y != skl_predictions).mean()\n",
    "            pom_e = (y != pom_predictions).mean()\n",
    "\n",
    "            skl_error[i, j] = min(skl_e, 1-skl_e)\n",
    "            pom_error[i, j] = min(pom_e, 1-pom_e)\n",
    "    \n",
    "    fit = skl_fit / pom_fit\n",
    "    predict = skl_predict / pom_predict\n",
    "    \n",
    "    plot(fit, predict, skl_error, pom_error, sizes, \"samples per component\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Below we see the fit and predict speeds for the two algorithms on increasing dataset sizes. pomegranate is always faster than sklearn for both prediction and fitting steps. These numbers fluctuate a bit every run and so running it multiple times (20 in this case) and reporting mean and standard deviations is ideal. Since these are unsupervised algorithms, accuracy is kind of a weird metric, but it refers to assigning cluster labels correctly corresponding to the underlying distribution which generated the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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Rs72dddZZXHHFFVx66aX4vs/TTz/N2rVr+fWvf82ll15a3I4sC8sauLtMJoNt2wA0NTWx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EpLSzl16hRw9+/X1tYWgDp16gB3ezLXrl1LdnY2b775ps7irK3mzp3L2bNnee2114C7ic+1a9fQ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\n8P84yik1BmDBRAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b7c784f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vLaGAJCIiIiJ9xtwFz9O0vp54Yj2z5z3JniPHEAyEOGDU12hcV8Nrbz2N49is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\nu+94+eWXJTlyMH9/f+Lj4+nevTs7d+5k7dq1pKen88ADDxAVFWVfGJ0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BAAAS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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b75c07650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "evaluate_kmeans()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The lines show the mean of the plotted value, and the bounds show the minimum and maximum value. We can see that kmeans looks liks it's between 5-10x faster per fitting iteration than sklearn is, and around 3-4x faster when it comes to prediction! To confirm that the two are getting the same results, we plot the unsupervised 'accuracy' for the two, and see that they are identical.  \n",
    "\n",
    "Lets now look at Gaussian datasets with two components when running Gaussian Mixture Models. We'll look at how many times faster pomegranate is, which means that values > 1 show pomegranate is faster and < 1 show pomegranate is slower. Lets also look at the accuracy of both algorithms. Accuracy should be roughly the same, but different, since both have different random initialization points. The measured the time is the time it takes to do a single iteration of EM."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PGiGEEEJMjwnDz2te8xpe85rXAPCnf/qn/OAHP5jyk+VyOdasWcOHP/xhzjzzTNatW0cQ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0bd05dc410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FpIhrdLtO1UJ7PyPbFboeicN/u2TDjsgOOd1f2LGlRCJbtbEQM1OIJaw+VZzE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\nv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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b75c50650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def evaluate_models():\n",
    "    sizes = numpy.around( numpy.exp( numpy.arange(8, 16) ) ).astype('int')\n",
    "    n, m = sizes.shape[0], 20\n",
    "    \n",
    "    skl_predict, pom_predict = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    skl_fit, pom_fit = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    skl_error, pom_error = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "\n",
    "    for i in range(m):\n",
    "        for j, size in enumerate(sizes):\n",
    "            X, y = create_dataset( size, 1, 2 )\n",
    "\n",
    "            pom = GeneralMixtureModel( NormalDistribution, n_components=2 )\n",
    "            skl = GMM( n_components=3, n_iter=1 )\n",
    "            \n",
    "            # bench fit times\n",
    "            tic = time.time()\n",
    "            skl.fit( X )\n",
    "            skl_fit[i, j] = time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom.fit( X, max_iterations=1 )\n",
    "            pom_fit[i, j] = time.time() - tic\n",
    "\n",
    "            # bench predict times\n",
    "            tic = time.time()\n",
    "            skl_predictions = skl.predict( X )\n",
    "            skl_predict[i, j] = time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom_predictions = pom.predict( X )\n",
    "            pom_predict[i, j] = time.time() - tic\n",
    "\n",
    "            # check number wrong\n",
    "            skl_e = (y != skl_predictions).mean()\n",
    "            pom_e = (y != pom_predictions).mean()\n",
    "\n",
    "            skl_error[i, j] = min(skl_e, 1-skl_e)\n",
    "            pom_error[i, j] = min(pom_e, 1-pom_e)\n",
    "    \n",
    "    fit = skl_fit / pom_fit\n",
    "    predict = skl_predict / pom_predict\n",
    "    plot(fit, predict, skl_error, pom_error, sizes, \"samples per component\")\n",
    "\n",
    "evaluate_models()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Lets also see how well it scales as we add more components where there are 10,000 total data points. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kjz1tJcNzFWF0zPexhZiWCnIzjYMg92KOlw8GJBMmSxybZc7sVv2qIuxRPZVe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\n7ty/n9ZIhHVhCfHTk8npD8UTArU8Bq0W1pYCeLrmBsMKTbf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N+11kV+hdyk5hcq0O7mjv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\n2sj8Q0MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b70305e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CZ6wgJjfXiAlYY6iJoyGWerD5XCzWrA7YX1k2l68r5rLee4oxpaX5DuXbG1Cx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\nEAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b7c0c5c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def evaluate_models():\n",
    "    sizes = numpy.arange(2, 21, dtype='int')\n",
    "    n, m = sizes.shape[0], 20\n",
    "    \n",
    "    skl_predict, pom_predict = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    skl_fit, pom_fit = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    skl_error, pom_error = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "\n",
    "    for i in range(m):\n",
    "        for j, size in enumerate(sizes):        \n",
    "            X, y = create_dataset(10000 / size, 1, size )\n",
    "\n",
    "            pom = GeneralMixtureModel( NormalDistribution, n_components=size )\n",
    "            skl = GMM( n_components=size, n_iter=1 )\n",
    "            \n",
    "            # bench fit times\n",
    "            tic = time.time()\n",
    "            skl.fit( X )\n",
    "            skl_fit[i, j] = time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom.fit( X, max_iterations=1 )\n",
    "            pom_fit[i, j] = time.time() - tic\n",
    "\n",
    "            # bench predict times\n",
    "            tic = time.time()\n",
    "            skl_predictions = skl.predict( X )\n",
    "            skl_predict[i, j] = time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom_predictions = pom.predict( X )\n",
    "            pom_predict[i, j] = time.time() - tic\n",
    "\n",
    "            # check number wrong\n",
    "            skl_e = (y != skl_predictions).mean()\n",
    "            pom_e = (y != pom_predictions).mean()\n",
    "\n",
    "            skl_error[i, j] = min(skl_e, 1-skl_e)\n",
    "            pom_error[i, j] = min(pom_e, 1-pom_e)\n",
    "    \n",
    "    fit = skl_fit / pom_fit\n",
    "    predict = skl_predict / pom_predict\n",
    "    plot(fit, predict, skl_error, pom_error, sizes, \"number of components\")\n",
    "\n",
    "evaluate_models()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like pomegranate can be much faster than sklearn at this task--around 10x faster for the fitting step. The reason that the accuracies vary is because a different random initialization is used for each model.\n",
    "\n",
    "Now lets take a look at Multivariate Gaussian models. For sklearn the initialization is exactly the same, but for pomegranate the MultivariateGaussianDistribution object must be passed in instead of the NormalDistribution object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MM+WrTvomy2Dey0Kmb6yrKYadd5JJnqirY20yGfqiuyIiIiLSd4QKPyeccALz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b7be90a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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LZK8Msygx1aCm/BP9kHUevoioc4QjIBsy/BP9yJ2VC2Ow0eXxPlqeBm9fb4wjJEpN8ZgV\nNhXwSoKIukSEBMwRZlIGDUuyhMC0AMDGWCKKguu4UHwKfFN8CM4IQi/QY/K69nib65xRRhNhAbPI\nhKxmZsrAMUJE1CWyKUMfFJuLia5QbRXWOAtVZVWQVI4XIqKW3HoXWr4Gc5QJLTf2C0AqXgXGUAM1\nm2vitnwAUTJJqgRzROJ7fiQKEyEi6jQ35MJf6k/6FLLGAAPOXgd1O+p4EUJEjVzHhbePF+YoE55A\nfNc8sUZaqN1eC4Ti+jZECSdCAtbozo+fSydMhIio01RbhT4wedWgpnzjfQhVhODWsp8cUbYTjoC3\nvxdmsZmwaX4lWYI92sahtw5B0jL3gpGyj2zKMAqNZIcRV5nZ4Y+I4kaEBMxRqVMml6TIeCEh2E+f\nKBsJIeCGXHj7ehE8Mwj/ZH/C1zrR++vw9Ixv5YkokdyQC2uklfSeH/HGRIiIOkUJKND7pUY1qIFi\nKvBN8MF1WBUiyhbCFRCugDHIQO6ZufBN8CV1el97nM1jEGUM1adCH5Ba5/p4YNc4IoqaqBewJqXm\nFJp6Px3OEAe1X9ZyvBBRBhNhAckjwRhiwBphpcz+rvpUGAMN1H5Vm/Gt6JTZhJO65/pYYyJERFFT\nc1V4e6fuuhn2GBvOPgduNVtliTKNCAnIugxjuAGzyEzJAdz2WBt1X9UlOwyibkn1c30ssWscEUXF\ndVxYJandQtQwXoiIMocbciF5JdhjbQRPD8IalrqzWEmKBKvEghtiYwylJ7fehTU6tc/1scREiIii\nouVp0PJivw5HrCm6At9kH4TDyROI0pmoF5BNGf6JfuTOyoUx2EiLLmfGEAOqzQ43lJ603hq0YOqf\n62OFiRARdSjdWoi8vbwwhhkQISZDROnGdVwoPgX+aX4ETw1CL0i/AducOIHSkeu4sEvtZIeRUGyy\nIKIOab00eHLSa2pYu8SGU+4gfCic7FCIKApuvQstX4M5yoSWm94t0lqeBm8fL5xyJ9mhEEVN769D\n9WVXasCKEBG1SzgibVuI/FP9PMoRpTi33oUnz4OcGTnoMb1H2idBDexxNkSYVWlKDyIk0qrnR6wk\n9BJh6dKlmDdvHubPn4+PPvqo2WPPP/885syZgwsvvBAPP/xwIsMionZofTSo/vRsIVI0Bf7JfnaR\nI0pBIiSg9daQe0YuAlMC8ATSq+rcEUVXYBQZTIYo5QkhoA/UoRjJW4crWRJ2dfP2229j27ZtWLFi\nBbZu3YobbrgBK1asAAC4rovbbrsNq1atQo8ePXDFFVdgxowZ6N27d6LCI6JWuPUurNL0biHSemow\nR5o4/OlhyCrLQ0TJJIQAXEAfoMMsNpO6AGoiWKMs1G6vBdhDl1KZQFZWg4AEVoQ2bNiAGTNmAAAK\nCwtx8OBBVFVVAQD2798Pv9+PYDAIWZZx/PHH44033khUaETUBr1Ah2qlZzWoKWuEBS1Pi1yEEVHC\nCVdACAFjkIHcs3LhG+/L+CQIACRZgl1qcxZLSlnCFTAKDcie7GwoTNinLi8vR05OTuPtYDCIvXv3\nNv58+PBhfPnll3AcB2+99RbKy8sTFRoRtUI4mdVf2H+8P2VWoCfKFiIsABkwh5rIOzMPdqmddZVZ\nvb8ONTf9G5QoM0mKBGtU5pzrOytpe2bTlllJkvDLX/4SN9xwA3w+H/r37x/Va5SVlcUrvC7ZumVr\nskOgY3CbdEMesP2T7XF56WTtu67pIvxeOGUXY0wm7iupKV23iwgLSJoEqUCCnC9DqpGAD5IdVWx0\n5fjlSi7Cn4UhqTz2xEO67ifJJsIC8mAZ297fFpfXT7Xr9NYkLBHKz89vVuXZs2cPevbs2Xh78uTJ\nePTRRwEAd955J/r169fha06YMCH2gXbRmy+/icKiwmSHQU1s3bKV26SLREggODsYl64rZWVlSd13\nD/c/jOqN1bwgaYL7SmpKx+3iOi4UW4E51IQ+SE+LBVA7ozvHr0PWIdR+VZtxf5NkS8f9JFVIHgnB\n04Jx+Z9M9rm+qfYSsoTVp6dNm4Z169YBADZt2oT8/HzY9tEpeb///e9j3759qK6uxosvvogpU6Yk\nKjQiaqJx9pgM7b9vDbXg6e3heCGiGBL1ArIpwz/Jj9xZuTAGG7zgP4Y1xoIE/k0oNbghF+YIM+v3\n04RVhMaPH4/i4mLMnz8fkiRh0aJFePLJJ+Hz+TBz5kxccMEFuOyyyyBJEq688koEg8FEhUZETbmA\nWWImO4q4CkwOoGJ9BafVJuom13HhyfVEJiTplRnr/8SLrMowR5k4/PFhVqQp6VRbhTHISHYYSZfQ\nMUILFy5sdnvEiBGNP8+aNQuzZs1KZDhEdAzhChhDDChaZlaDGkiKBP9UPw68cIAXJERdIBwBT74H\n5kgzYxZATQSzyETt57Vw69xkh0JZTDgC5vjMbvCMVnZN3UJE7ZMAqzg7Zo/xBDywx3JaW6LOcOtd\nePI8yJmRgx4n9GAS1AX2eBuuw0SIkkftoULvpyc7jJTA+RyJCMCRalCRkVVTTBuDDTjlDup21XEm\nOaI2CCGAMODt74VVbEExM7tiHG9angZvby+cfU6yQ6Es5Dou/KX+ZIeRMpgIERGAyMJ/1sjsqAY1\n5Zvgg7PfgahjZYioKSEE4AL6AB1msZmxE6gkgz3ORsW6iqxqeKLUoPXUoOWxktuAXeOICCIsYAw1\nsrIqIskSAlMDAHuqEAGIVIeFK2AMMpB7Vi58431MgmJMMRQYRUZkwVmiBBEhAas0+xo828OKEBFB\n9sgwh2XvwEnVVmGNs1BVVsXJEyhribCA5JFgFpowh5usVsSZNcpC3Y46zl5JCaP11uAJeJIdRkph\nIkSU5URYwBxpZmU1qCljgAFnr4O6HXW8AKSsIkICki7BHGHCLOSxIFEkWYJVYuHQO4cgefg3p/gS\njoA9xu74iVmGiRBRlpN1GUYh1xIAAN94H0IVIbi17CdHmc91XCi2AqvEgj5Iz/qFFZNBL9BR83kN\nwpXhZIdCGUwIAe8ALyc6aQXHCBFlMddxI11geAEEAJAkCYFpgcggcaIMJeoFZFOGf7IfubNyYQw2\neAxIInusze5xFFeSkDg2qA2sCBFlMcVSoA/iWgJNKaYC3wQfKt+qhOxhWxFljoY1gKwRFrRenDUq\nVXgCHngLvJFp/JmQUowJV8AYnPkLpXcVEyGiLOWGXPjH+HnibYXeT4czxEHtl7UcL0RpTzgCnnwP\nzFEmtCAToFRkj7VRt6su2WFQBpIkKWsWSu8KJkJEWUq1VegDWA1qiz3GhrPPgVvN8UKUntx6F96+\nkUVQVT9P96lMVmWYI01Ub6zmzJUUMyIsOANkB9jvgygLCUfAHJW902VHo2G8EFE6EUJAhAS03hpy\nz8hFYEqASVCaMItMKBa7L1HsyJoMczjP9e1hIkSUhZQeCvR+rAZ1RNEV+Cb7IBwOZKbUJoSACAvo\nBTqCs4PwT/Jzhqg0I0kS7LE23HpWoan7REjAHMHp8DvCZiKiLCMcAbuYawlEy9vLC2OYgZrNNeyy\nQilHuAKSJMEYYsAcYUJW2b6ZzrR8Dd4+Xjj7nGSHQmlOtmTog9ng2REeMYmyjJqrcsaoTrJLbKhB\nthtR6hBhAUiAOdRE7lm5sEtsJkEZwh5nR7YvUReJkIA10uJkSFHgUZMoi7iOy9ljusg/xc8jJiWd\n67iAClglFnLPzIU1ymLXlwyjGAqMQgPCZTJEXaP4FegFrAZFg6d1oiyi5WnQ8lgN6gpFU+Cf7OfC\nh5QUruNC8krwjfch9/RcmEVcCDmTWcUW1zGjLhGOgD2a3d+jxb2MKEu49S6s0awGdYfWU4M50oQb\n4mBmSgxRLyBbMvzH+ZE7KxfGIIMJUBaQZAlWicWGF+o0NU+Fls8Gz2ix0ztRltB6a/DkeJIdRtqz\nRlhw9jpw9ju8IKW4EY6AsAQCJwQ4pi9L6QN01Hxeg/ChcLJDoTTh1rsIjOayD53BihBRFmCpPLb8\nx/u5QB3FlW+SD54JHiZBWc4eZ7MqRFHz9vGywbOTmAgRZQGtj8ZFFWNI9sgITA1wZieKKeEIqDkq\nck7L4UBnAgB4Ah54C7wQgscaap9b78Iaw+7vncVEiCjDufUurFIeHGPNk+OBWWyytZZiQggBe4KN\nHif0gKJxIVQ6yh7Daj51TB+gQ7XY4NlZTISIMpxewINjvFhDLXh6e9haS10mQgJqDxXB04IwBhrJ\nDodSkOyRYY5kowu1TYQEGzy7iIkQUQYTjuBMcXEWmBzgNLfUJcIVsMfZ6DG9BxQvq0DUNrPIhGzx\nOEMtCSGgD9J5DOmiqPaq2267DR999FG8YyGiGBJCwDvAC8XgwTGeJEWCfyrXF6LoNasCDWIViDom\nSRJ8Y32RBXWJmhJgg2c3RJUI7dq1CwsWLMBpp52G3//+99ixY0e84yKi7grz4JgonoAH9lgbwmEy\nRB1wI2M+ekzvAUVnIwVFT8vX4O3lTXYYlEKEK2AUGZBVVgu7KqqBA/feey+qq6vx0ksvYf369Tj3\n3HMxbNgwnHPOOZg9ezZ69OgR7ziJqBNYKk88Y7ABp9xB3a46SDKn1qbm3JALLajBN9nHKi11mT3O\nRsW6CkgqjzEESKoEayQbPLsj6hTSNE3Mnj0bv/3tb7Fhwwace+65+M1vfoMTTjgB1157LT755JN4\nxklEnSEAq4QHx0TzTfBBNtgyR82JsICv1IceJ/ZgEkTdopgKjCIDwmX1OduJkIA53GTDWzd1aiqp\nqqoqPPvss1izZg3ee+89jB07Fueddx727NmD733ve/jJT36COXPmxCtWIoqCcAWMwQYH8CeBJEsI\nTA3gwD8OcCoaghty4cnxwD/ZD8VkAkSxYRVbqNtRx3XMspxsyDAKOcawu6JKhJ5//nmsXr0aL7/8\nMnr27InzzjsPS5YsQUFBQeNzTjjhBFx99dVMhIiSTYqcKCk5VFuFNc5CVVkVu69kMREWsEosWEO5\nL1JsSbIEq8TCobJDPMZkKTfkwl/qhyRx+3dXVInQT3/6U5x++ul44IEHMHHixFafU1paiuHDh8c0\nOCLqnIaBk5LCg2MyGQMMOHsd1O2o47bIMm7IhaeHB/7jWAWi+NEH6KjZWoNwVTjZoVASqD4V+kA9\n2WFkhKgSoddffx0HDx6Eohw9qH/++efQdR19+/ZtvO/++++PfYREFDVJ4cDJVOEb70OoIgS3ltPd\nZgsRErCKLVjDuA9S/NnjbRz4xwFIHja2ZBNRL2BONJMdRsaIqhf7W2+9hdNOOw3vvvtu433vvPMO\nzjzzTLz66qtxC46IoifCR6pBHDiZEiRJQmBaAEKwH3+mEyEBxVSQMzOHSRAljCfggbfAy2NMllHz\nVOh9WA2KlagqQnfeeSeWLFmC008/vfG+efPmITc3F7/+9a8xffr0uAVIRNGRPTLMYWwlSiWKqcA3\nwYfKtyo5eUWGEmEBc6QJawQTIEo8a4yFul11ANu/soLruPCP9ic7jIwS1Zl5x44dzZKgBieeeCK2\nb98e9ZstXboU8+bNw/z58/HRRx81e+yRRx7BvHnzcOGFF2LJkiVRvyYRRVqkjeGsBqUivZ8OY4jB\nGZ4yjAgJyKaMnFNzmARR0iiaAnOECRHi8SUbaPkatKCW7DAySlSJ0KBBg7Bu3boW969cuRL9+/eP\n6o3efvttbNu2DStWrMCSJUuaJTtVVVV44IEH8Mgjj2D58uXYunUrPvjggyg/AhFJusRpNFOYPcaG\n4uPA+UzRsH5Hzik5UH2dWoWCKObMYSZkixXnTCccAXuMnewwMk5UR/CFCxfimmuuwb333ot+/fpB\nCIEvvvgCe/bswV/+8peo3mjDhg2YMWMGAKCwsBAHDx5EVVUVbNuGx+OBx+NBdXU1TNNETU0NAoFA\n1z8VURZxHRe+Eh+n0UxhDeOF9j+3P9mhUDeIsIBiK/BN9sHj9yQ7HCIAkeOLPcbGwdcPsgtuBvP2\n87LhJQ6i+otOmzYNa9euxbPPPosdO3ZAkiRMnToVZ511FnJzc6N6o/LychQXFzfeDgaD2Lt3L2zb\nhtfrxdVXX40ZM2bA6/XizDPPxODBgzt8zbKysqjeO1G2btma7BDoGNmwTYRHwDPQA1QkO5Lopdq+\nmyiu10V9RN5WAAAgAElEQVT4w3BKrv2RDftKd4iwgDRAgtJDgbQ5cdsvW/eVVJaq2yS0PwRUJjuK\n5Mj045cICyhBBXJZeiW6qbqvNBV1atmrVy9ceumlLe7/yU9+gmXLlnX6jZvOclJVVYU//vGPWLt2\nLWzbxiWXXILPPvsMI0aMaPc1JkyY0On3jZc3X34ThUWFyQ6Dmti6ZWvGbxPXceGf6Ic+IH1mkCkr\nK0upfTfRqvpWoWZzTUolQ9mwr3SVCEdmhPMd54MnkNgqULbvK6kolbdJeGQYFesqUurYkgiZfvwS\nQkDvp8M3wZfsUDollfaV9hKyqBIhIQRWrlyJjRs3or6+vvH+PXv24OOPP44qiPz8fJSXlzf73Z49\newIAtm7dioKCAgSDQQDAxIkTsXHjxg4TIaJsp/rUtEqCCLBLbDj7HIQruRBiqhMhAWOoAavYYtdT\nSnmKqcAoNFDzRQ0nzskkLmCO5oyw8RJVjW3p0qX4n//5H+zZswerV6/GoUOH8M4772D//v343e9+\nF9UbTZs2rXHChU2bNiE/Px+2HRn01a9fP2zduhW1tbUAgI0bN2LQoEFd+DhE2UM4AuYoHhzTkX+K\nP8qjLyWDCAtIXgk9TuoBu8RmEkRpwyqxIKs8uGQK4QoYhQYUjZPtxEtUFaG1a9fir3/9KwoKClBa\nWorf//73CIfDuO222/D1119H9Ubjx49HcXEx5s+fD0mSsGjRIjz55JPw+XyYOXMmLr/8cnz3u9+F\noigYN24cJk6c2K0PRpTplB4K9H6sBqUjRVPgn+zHwdcOZl03llQnQpELD2s0q0CUfiRZglls4tB7\nhzhxQgaQZAnWKE7PH09RJULV1dUoKCgAACiKglAoBFVV8YMf/ABz587F+eefH9WbLVy4sNntpl3f\n5s+fj/nz50cbN1FWE46AXcxpNNOZ1lODOdLE4U8PswU3BYiwgGzICJwQgCeHM8JR+jIGGaj9ohbh\nKna/TWcNizVLChtk4imqs++QIUPw2GOPwXVd9OvXD+vXrwcA1NTU4MCBA3ENkIhaUnNVaL24qFq6\ns0ZY0PK0ZpPHUOKJkIA+WEdwZpBJEGUEe6zNRVbTnOyVYQ5j9/d4iyoR+u///m8sW7YM1dXVuOSS\nS/DjH/8YZ5xxBs4991yceuqp8Y6RiJpw611YxSyVZwr/FD9b/JJEuAKSR0LgWwH4xvg4wJwyhifH\nA28/LxtZ0pQbcmGOMNk9NwGi6ho3depUbNiwAV6vF9/+9rfRv39/fPzxx+jfvz9OO+20eMdIRE1o\n+Rq0PFaDMoWsyghMDeDAyweYECWQcCJVIHuMzQSIMpI11kLd2rpkh0FdoFgKjMFGssPIClFVhH7+\n85/D6/U23p4yZQquvPJKzJ49G4rCmSyIEsWtd2GNZjUo03hyPLBKLHZlSQDhCkAFAtMD8I1jFYgy\nl6IpMIebEGEeV9KJcAR7fSRQVInQu+++i+3bt8c7FiLqgNZbg6cHxzBkIrPIhKe3h11Z4sitd6EX\n6Mg9LRdaT1ZVKfOZw0zIJidjSSdqD5UzwiZQVF3jzj33XFx11VWYPn06+vbt26IKdNFFF8UlOCI6\nSjgCdilnistkgckBVKyvYGUoxhrGAvX4Vg8mQJRVJEmCXWqj8o1KSB5WP1Od67jwl/qTHUZWiSoR\nWrlyJQA0zhbXlCRJTISIEkDro0H1RbXLUpqSFAn+qX4ceOEA1xeKEddxoQ/Q4RvPbnCUnby9vfDk\nexDaH0p2KNQBrSfHACdaVFdVL7zwQrzjIKJ2uI4LewyrQdnAE/DAHmuj6v0qtuB2gxAiMhHF5AC8\nvbwd/wJRBvON96FiXQUbWFKYcASsUo4NSrSoEqEtW7a0+3hRUVFMgiGi1ukFOhSTE5NkC2OwAafc\nQd2uOlYxusB1ImOBfON9nImPCIBiKtCH6Kj9spbHlBSl9dbgCXAMcKJFlQidddZZkCSp2SDepnOb\nf/rpp7GPjIgARBZ7tErYSpRtfBN8cPY7EHUcLxQtIQQkWUJgagDe3qwCETVlj7ZRt6MO4CEl5biO\nC3sse30kQ1SJ0D/+8Y9mt13XxbZt27B8+XJccsklcQmMiCIXdt4CLxSD1aBs03BBf+AfB6Kc3zO7\niZCAt58XvgmsAhG1RpIlWCUWDr1/CLLKg0qqEEJAH8BeH8kSVSLUr1+/FvcVFBRg1KhRuOSSS7Bm\nzZqYB0ZEAFywz3AWU20V1jgLVWVV7NvfhoYqkO84H/S+nHKWqD3GIAO1n9cifDic7FCoAc/zSdWt\nJgFZlrFz585YxUJETQghoA/UoWhsJcpmxgAD3gFeLorYCuEIeHt5ETw9yCSIKEr2OBvC4fEkFQhX\nQB/M83wyRVURWrZsWYv7amtr8eabb2LkyJExD4qIAAjAGs1WIorM+BSqCMGtdZMdSkoQQkCSjlSB\nuPAgUad4cjzw9vei7uu6ZuO9KQkkwC7h2KBkiioR+vjjj1vc5/V6MXXqVFx++eUxD4oo2wlXwBhi\nsB83AYhMThOYFkDF8xVZf+EiHAFPbw/8k/yQPdw/iLrCGmuh7tk6ILsPJ0klwgLmMJNjGpMsqkTo\noYceinccRNSEJEmwRrEaREcppgLfBB8q36rMygRACAEJEnyTfNALWAUi6g5FU2AON1H9WTUvxJNE\n9sgwR5jJDiPrRXU2raiowH/8x380mz3uwQcfxJVXXony8vK4BUeUjYQroBfqPDlRC3o/HWahmXXj\nhYQjoOVpyDk9h0kQUYyYw03IRvY1qqQCERIwRhhc0ykFRLUH3HTTTVBVFaNGjWq8b9asWfD5fLj1\n1lvjFhxRNpIUCdZIVoOodVapBcWfPQNrhRCwJ9gITA1wQDFRDEmSBHsMJ05IBtmUYQwxkh0GIcqu\ncW+//TZeeeUV6PrRlri+ffti8eLFOOmkk+IVG1HWEWEBc6TJViJqkyRF1hfa/9z+ZIcSV8IR8OR7\n4JvsYwJEFCfe3l54enoQOhBKdihZw3Vc+Mf4s368Z6qIqiLk9Xqxb9++Fvfv2rULssyyKlGsyJoM\ncyj7DFP7FF2Bb7IvY1tyhRCwx9vocUIPJkFEceabkLnHklSk+lXoA9jFN1VEVRE6//zzcdlll2He\nvHno378/XNfFF198gcceewwXXXRRvGMkygoixGoQRc/bywtjmIGazTUZs9iqCAl48o5UgbxMgIgS\nQTEV6IU6ar+s5fknzoQjYE1i1/dUElUidO211yIYDGLVqlXYvn07ZFlGQUEBvv/972PBggXxjpEo\nK0i6BKOQfYYpenaJDWefg3Bl+q8SL1wBe6wNYzD3AaJEs0ts1O2sA7hUWVypeSq8vb3JDoOaiCoR\nkmUZl156KS699NI4h0OUndyQC1+Jj32GqdP8U/yR8UJpegHjhlxouRp8k3xQDFaBiJJBUiRYxRYO\nvX+I69fFiVvvwl/iT3YYdIyo/tv37dvH6bOJ4kixFLaEU5comgL/ZD9EKA37+LuAb4wPPb7Vg0kQ\nUZIZgwx4Ap5kh5GxvH280IJassOgY0SVCN18882cPpsoTlzHhTWCfYap67SeGsyRJtxQepSF3JAL\n1a8iZ1YOp5AlSiHWWIsTJ8SB67iwSnmeT0VRdY176623OH02UZxwBhmKBWuEBafcgVPhpHQXS+EK\n+Ep9HA9HlIK0oAZvPy/qvqlL6eNIutH761DtqC65KcE4fTZREglHwCzmdNkUG/7j/ZCU1Lx4cUMu\nFFtBcGaQSRBRCrPGWQCLQjEjQoLVoBTG6bOJkkjNUaH3YTWIYkNWZQSmBnDg5QMplRCJsIBVbMEa\nxosBolSnaArMYSaq/1mdUseRdCSEgD5Ih6JzDGSq6vL02QMGDMAVV1yBU089Nd4xEmUk4UQuDoli\nyZPjgVVi4fDHh5O+vpAICagBFb7JPnYLIUoj5ggTtdtrIepZGuoWF7BG8zyfyqLq19YwffZTTz2F\n999/Hxs2bMAVV1yBF198ETNmzIh3jEQZSc1VoeVzBhmKPbPIhKe3B0Ik7yKmYYHgnFNymAQRpRlJ\nkmCVcuKE7hCugFFkcDryFNeps9PmzZvx+OOPY/Xq1QiHwzjjjDOwfPnyeMVGlLG4ngDFW2ByABXP\nVST8QkaEBFS/Ct9xrAIRpTO9j47anrUIHQglO5S0JCkSrFGsBqW6Ds9Shw8fxtNPP43HH38cn376\nKY4//ngcPnwYTz31FIYMGZKIGIkyjpavQctlNYjiR1Ik+Kf4ceCFAwnrIidCAuYIE+YIkzNOEWUA\ne5yN/c/tT3o323QjwpGJkCSZf7dU124i9LOf/Qxr167FoEGDcM455+Dee+9FXl4exo0bB4+Hi24R\ndYVwBPsMU0J4Ah7YY21UfVAV1wsZERZQfJGFXVUfq0BEmUK1VeiDdNRur+VFfSdIXglmEWeETQft\nnrFWrVqFM844A1dffTWKioq6/WZLly7Fhx9+CEmScMMNN6C0tBQA8M0332DhwoWNz9uxYweuu+46\nnH322d1+T6JUo/XW4OnBhgRKDGOwAafcQd2uurhcyIiQgDHMgDXKYhWIKAPZpTbqvqrjlNpRckMu\nfKN9PB6miXYToYceegiPP/445s6di8GDB+Pcc8/FWWed1aWN+/bbb2Pbtm1YsWIFtm7dihtuuAEr\nVqwAAPTq1QsPPfQQACAUCmHBggU45ZRTuvBxiFIbq0GUDL4JPjj7HYi62F3JiLCAYinwTfbBE2Bi\nT5SpJEWCVWzh0AeHOPA/CqqlwhjEtdLSRbv/0ZMmTcKyZcvw6quvYs6cOXjqqadw4oknora2Fm+8\n8QYcx4n6jTZs2NA4w1xhYSEOHjyIqqqqFs9btWoVTjvtNFgWLxYp82h9NHYdooSTZAmBqQHAjc3r\nuSEXRpGBnBk5TIKIsoAx2IDq57mrI6JewBzNLnHpJKrU3ufz4eKLL8aqVavw2GOPYe7cuVi2bBmm\nT5+O22+/Pao3Ki8vR05OTuPtYDCIvXv3tnheQwWKKNO4jgt7jJ3sMChLqbYKa5wFEep6VUiEBWSv\njJyTc2CX2Oz6QZRF7HE2p9PugBrkIunpptPp/ejRozF69Gj87Gc/w9NPP42VK1d26Y1bW9/i/fff\nx5AhQ2Db0V0slpWVdem942Xrlq3JDoGOkVLbJBfY8emOZEeRElJt380mocMhiG9Ei/FCHe0rIiQg\nFUhQ+iuQtjIBShTuK6knm7dJ6FAIqEh2FC2lwrleOALKBAVyGbsPNkiHfaXLdU7DMDB37tyoqzf5\n+fkoLy9vvL1nzx707Nmz2XNeeuklTJkyJeoYJkyYEPVz4+3Nl99EYVFhssOgJrZu2Zoy20SEBIKn\nB6EYSrJDSbqysrKU2nezjRgvsP/5/XBrj/aTa29fEWEB2ZThn+SHJ4fd4BKJ+0rqyfZtEh4dRsUz\nFZCU1GkMSZVzvZqjoscJPZIdRspIpX2lvYQsYWnrtGnTsG7dOgDApk2bkJ+f36Ly8/HHH2PEiBGJ\nCokoIYQQ0AfoTIIoJUiShMC0QKtV+WOJkIAxxEBwZpBJEBFB0RSYw0yIMLvINSUcAbuUXd/TUcJG\nvo0fPx7FxcWYP38+JEnCokWL8OSTT8Ln82HmzJkAgL179yI3NzdRIRElhgsOnqSUopgKfBN8qHy7\nstVZoIQbGQvkn+aHFuTCv0R0lDnSRO32Wo4XakLrq3EyiTSV0K3WdK0gAC2qP2vWrElkOERxJ4SA\nPliHorEaRKlF76cjVBhCzec1ze4XTuR/1h5jcwFFImpBkiRYpRYOvXkIkofHCFaD0hvTV6J4cgGr\nmFPBU2qyRluoL68HcKQKpMnwT/FDy2MViIjapvfVUduzFqEDoWSHklRCCOgDdSgmGzvTFae2IIoT\n4QoYhQYXoKOUJUmR9YWEK6AX6AieFmQSRERRscfZcJ0YLU6Wrtj1Pe3xCo0oTiRJgjWK1SBKbYqu\nQP2WCt94H7vCEVHUVFuFMdiAcLNzrFBDYye7vqc3JkJEcSDCAkaRkVJTjBK1hQkQEXWFXWpn7XmO\njZ2ZgYkQURxIHgnmCJbLiYgoc0lKJBlwQ9nVRU6EBYxhbOzMBEyEiGKssRrEVnYiIspwxhADqi+7\n5t6SNRnmcDZ2ZgImQkQxJmsyzGE8QBIRUXawx9tw67OjKuQ6LsyRJiSJjZ2ZgIkQUQyJkIAx3OAB\nkoiIsoYW1ODt5012GAmh2Ar0QXqyw6AYYSJEFEOyIcMYYiQ7DCIiooSyx9lAhheFREjAGmWxsTOD\nMBEiihE35MIcwXI5ERFlH8WrwBhqQIQzdzptxa9A789qUCZhIkQUI4qlwBjEahAREWUnc6QJWc/M\nS0u33oU92k52GBRjmfnfSpRgruPCGsn1BIiIKHtJkgSr1IKoz7yqkNZTg5avJTsMijEmQkQxoPpV\n6AUslxMRUXbT++rw9PQkO4yYEo6AVcrGzkzERIiom0S9gFnM6bKJiIiAyMQJmbTIqtZHg6dHZiV3\nFMFEiKib1KAKvQ+rQURERACg+lQYAw0Ikf5d5FzHZTUogzERIuoG4QhYxTxAEhERNWWPsTNiFlW9\nQIdqqckOg+KEiRBRN6h5KgdPEhERHUNSJFjFVlp3kRNhjg3KdEyEiLrIdVxWg4iIiNpgDDGg+tKz\nmiKEgD5Yh+JVkh0KxRETIaIu0npq0HJZDSIiImqLPdaG66RnVYiNnZmPiRBRFwhHwBrNAyQREVF7\ntDwN3j7eZIfRKSIsYBaZkFVeJmc6bmGiLtB6cypNIiKiaNjjbYhw+swgJ6kSzBFcFiMbMBEi6iTX\ncVkNIiIiipLiVWAMNdIiGRIhAXOECUlO/xnvqGNMhIg6ydvXm7aDP4mIiJLBGmlB8qZ+ciGbMoxC\nI9lhUIIwESLqBNdxYZfayQ6DiIgorUiyBHu0DeGkblXIddxIwpYB6x9RdJgIEXWCXqBDMTmVJhER\nUWfp/XV48lJ3fK3qU6EP0JMdBiUQEyGiKIkQZ4ojIiLqDntcak6nzdlgsxMTIaIoCCGgD9Ch6KwG\nERERdZXqU2EMNCBEanWRU3NVeHun1zTf1H1MhNLEtIXT8Ponr7f62Jwlc7DytZUJjijLuIA5mlNp\nEhERdZc91oaE1BmH49ZzNthsxUSIqANCCOiDdSgaq0FERETdJSkSrBILbig1ushpvTVoQS3ZYVAS\nMBEi6ogArGK2FBEREcWKMcSAaid/KQrOBpvdkv8fSI0eefERPPnGk9hftR+5vlxc8K0L8O0Tvt3i\neYdrD+Oqu6/C5GGTcc3Z1zR7zHVdPPj8g1hbthblleUY0HMArjn7GkwcOhEAsGvfLvzmb7/Bpm2b\n4AoXY4aMwY/n/Bh5/jwAkS54/3X2f2H5y8txznHnYFzhOPz0Lz/F4u8uxm//9lvsPbgXY4eMxS0X\n3wJLb5kc1Dl1+N1Tv8Nrn7yG6rpqDMofhGvPvRYlg0oAALX1tfjf1f+Llz56CQAwddRUXHf+dTC8\nRruPzVkyBxeeeCHmnjAXAPDelvfwX3/4Lzy35DmYXrNF3Jefdjne3PImbv7bzdhdsRs+w4fzpp6H\nS069pDHWde+tw4PPPYg9B/ZgSO8huPa8a5Hrz8XcpXPxwA8fwPD+wyFcAaPQwHn/dh7OOeccfP/7\n3+/eRiYiIiIAkYkTDrxyALInee3yej+dawNmMVaEUsTHX36M+9fdj2WXLcMLt7+AWy++FQ+sewBb\nd29t9jzXdXHLI7dgQM8BuPqsq1u8zuOvPY61ZWvxq8t/hfWL1+P8qefj+r9cj8rqSgDALx//JWzD\nxt9u+htW3rASh2sP4/drft/sNV76+CX8+do/47JZlwGIJC/r31uP+35wHx5e+DA+2f4JnnnnmVY/\nx6MvPYoPPv8A/3fd/2HtrWsxvnA8bnzoxsbH//DsH7Bl9xY88uNHsPyny7F973bc8/Q9HT4WjaZx\n767YjT/84w+4avZVeH7p81h6yVL8Zf1f8Pa/3gYAfLbzM9zx+B247t+uw7rF63Di6BPxkz//BDl2\nDsYXjse699YBACRJQrlZjs2bN+Pss8+OOhYiIiJqn5anwdsneRMUiJCAVcoeH9ksa1Lg9RUV+OTw\n4bi9/pc9Q8jzlDe7b7jrxclhX1S/f6jmEADA0CKrGY8cMBLP3PIMZLl5rnr33+/GoZpD+O13f9vq\ngl+r31qNC6ZfgIH5AwEA5x5/Lp54/Qm88OELOG/KefjV5b8CAGiqBk3VcMKoE/C3N//W7DVOGXMK\ncv25jbdd4WL+ifPhM3zwGT6MHDASX+75stXPseCUBbhg+gWN1aJTx56KR156BOWV5cj15WLtu2vx\nk7k/QY4vBwBw/bevx77KfRBCtPlYtJrG3SfYB3dfejdKR5U2/j0H5A/AZzs+w+Rhk7H23UiS1lAp\nu+BbF6BXTi84IQdnTDwD9z5zL/7zjP+Eb4QPTz7/JCZPnoxevXpFHQsRERF1zB5no2JtBSQlsZMn\nCCGgD9ShGBz/m82yJhFKdROHTsSkoZNw4bILMa5wHI4bdhxmT5qNgBVofM7f3/47Xtn4Cv7vuv+D\n19N6C8qufbtw15q7cPff7268zxUu9hzYAyBSCfnjM3/Elt1b4IQchN0wegZ6NnuN3jm9W7xu32Df\nxp91j446p67V999ftR+/e+p3eH/r+zhcezTxdEIODlYfxKGaQ+gT7NN4/5DeQzCk9xAcOHygzcei\ndWzc/9j0DyxevRh7D+6NxBB24IQcAMBX+75q9l6aqmHmuJkAgJNGn4Q7V92Jsi/KMPu82Vh/03p8\n5zvfiToOIiIiio6iKzCKDNRsqUlsMiTAmeIosYnQ0qVL8eGHH0KSJNxwww0oLS1tfGz37t340Y9+\nBMdxMGrUKNx6660xfe9ZwSBmBYMxfc2m3tz7FYp65HX59zVVw7LLl2Hzrs14bdNrePqdp/Hwiw/j\nTz/4E/rmRpKQzV9txoSiCbjn6Xtw5/fvbPV1vB4vFs5ZiBljZ7R4rLK6EgvvX4izjzsbd1x2B3yG\nD3999a9Y8cqKZs9T5JatI61Vn1pz08M3QZEVPHDtA+id0xubd23Gpf9zKQBAliLVrdbWDmjvsda4\nouVMM03jXvPWGqx5bw1u/97tmFA0AaqiNsbR8Hnaei/Da+CkkpPw4pYXMe7rcdiyZQtmzZoVVVxE\nRETUOdYoC7Xba4FwYt6vYfxvMscmUWpI2H/A22+/jW3btmHFihVYsmQJlixZ0uzxX/7yl7jsssuw\ncuVKKIqCXbt2JSq0lBAKh3Co5hCG9h2K7838Hh780YOwDRsvf/xy43N+eO4PcfNFN+OzHZ9h1Rur\nWn2dfrn9Wowr2l2xGwCwfc92VNdV4zsnfQc+I9Jl7587/xnTz/Hp9k9x7vHnNlZnmr6+3/TDZ/iw\nfe/2xvu27t6KNW+tafcxIJIoNq1CfbXvq/bj2PEphvYeiuOGHwdVUXG49jB27tvZ+Hjf3L7N3st1\nXTz28mON1aPZx8/GK2Wv4O9//ztOPvlk2DZnlCEiIooHSZZgl9oQTmIWWZUUCdYoVoMogYnQhg0b\nMGNGpEpRWFiIgwcPoqqqCkDkIrSsrAynnHIKAGDRokXo27dvm6+ViR596VFcc+81R5OWvdtx8PBB\n9M/r3/gcWZYR9AWxcM5C3P33u7GzfGeL1zl/6vlY9cYqfPjFhwi7Yby66VVc/KuLsW3PNvTK6QVZ\nkvHxlx+jtr4WT735FLbv2Y5DNYfa7OrWWX1z+2LT9k0IhUMo21zWOANcY4IxaTYefelR7DmwB5XV\nlfjN336Dz3Z+1uFjBXkFeOPTN1BbX4td+3Zh7btr248j2BdfH/waBw8fxJ4De3DHyjvQK9ALeyuP\nxDFxNj784kO8svEVhMIhPPH6E3johYdg6RZESGDa7GmwbRv33XcfzjnnnJj8bYiIiKh1en8dam78\nOyqJsIAx1IAkp86CrpQ8CUuEysvLkZOT03g7GAxi797IRWlFRQUsy8Ltt9+OCy+8EHfe2Xq3r0w2\n/8T5KB1Uiiv+9wqc8rNT8NO//BQXn3wxppdMb/Hck0tPxvSS6bh1+a0Iu83ryGdOOhMXTL8ANz10\nE2b+fCbuX3c/br74ZgzMH4iegZ64+qyr8esnfo3zbjsPX37zJRZfshgBM4B5v5wXk89x3fnX4fVP\nXsfpvzgdy19ejhvm3YDjhh+HH/3pR9iyawuumn0VxgwegwW/XoAL77gQfYN98Z9n/icAtPvYFWdc\ngaqaKsxeNBuLHl6E75zc/pid86ach749+mLOkjn4wR9/gNPHn47vnPwdPPfec/jjs3/EsH7DcNuC\n23DXmrtw2o2nYf3767HssmUwvSZkQ4ZZaOKcc86BqqqYPr3lNiAiIqLY8o3zwXXiu8iqpEkwh5lx\nfQ9KH5KIdlBGN/3iF7/AiSee2FgVuvDCC7F06VIMHjwYe/fuxcyZM7F69Wr069cPV155JRYsWICT\nTjqpzdcrKytLRNhRc152oh5HQ6lLhAWU4QrkvjLuu+8+WJaFiy66KNlhERERZYXQpyGIPSIu11RN\nz/GUXSZMmNDq/QmbLCE/Px/l5Uenl96zZw969ozMVpaTk4O+fftiwIABAIApU6Zg8+bN7SZCQNsf\nKhnefPlNFBYVJjsMamLrlq2d3iaSV0LurFy89NJLeO+997B69Wr06dOn41+kqJWVlaXUvkvcJqmK\n2yX1cJvEnzvGRcUzFUCUeVBnzvWyV0ZwVvwmzqKjUmlfaa94krCUeNq0aVi3LrJI5aZNm5Cfn984\nAF1VVRQUFODLL79sfHzw4MGJCo0IwJGF1UZZOP3003Hrrbdi2bJlTIKIiIgSSFZlmKNMiFBsOywJ\nR8AsZpc4ai5hFaHx48ejuLgY8+fPhyRJWLRoEZ588kn4fD7MnDkTN9xwA66//noIITBs2LDGiROI\nEkXxK9D761i7tv2JGIiIiCh+zCITtZ/Xwq2L3XghtYcKvZ8es9ejzJDQdYQWLlzY7PaIESMafx44\ncIWq4I8AACAASURBVCCWL1+eyHCIGol6AXMiW4qIiIhSgT3exoFXDsRkrR/XceEv9ccgKso0HC1G\nBEANqtD7sKWIiIgoFWh5Gry9vbF5rZ4atDwtJq9FmYWJEGU94QhYxVxYjYiIKJXY42yIcPfGCglH\nwCrlOZ5ax0SIsp6ap0LLZ0sRERFRKlEMBUaR0a1kSOujwRPwxDAqyiRMhCiruY4Lq4QtRURERKnI\nGmVB9nbtclU4AvYYO8YRUSZhIkRZTcvXoAVZDSIiIkpFkizBKrEgnM5VhYQQ8A7wQjGVOEVGmYCJ\nEGUt4QhYo1kNIiIiSmV6gQ41t3MTHUtC4tgg6hATIUoL//rqX3jrn2/F9DW13uw3TERElA7ssXbU\ni6wKV0AfrEPRWA2i9jERorTw97f/jnf+9U7MXs91XFaDiIiI0oQn4IG3wAshOk6GJEnibLAUlYQu\nqEpt212xG3OXzsXi7y7GA+sewFf7vsLw/sNx24Lb0DPQEwCw8cuNuGvNXfj868/h9XgxY+wMXH3W\n1fCoHjz9ztN49KVHMe9b83D/2vtR59Th0hmXoqhvEe5cdSfKK8sxc+xM/PTbPwUA1Dl1uOfpe/Dq\nxldx8PBBDOs3DP99/n9jWL9hAIBPt3+KW5bfgj0H9mBc4ThML56O+569D8/c+kxjrNedfx3uX3c/\nrj77apw56Uw8/urjWPn6Suyr3IegL4jvnvpdnDX5LADAA+sewD+/+ifGDB6Dx155DE7IwVmTz8I1\nZ18DADh4+CDuXHUn3tvyHupD9RjebzgWzlmIgfkD8asnfoWn3nwKsiTjxY9exBM/fwKV1ZX47d9+\ni3e3vIvq2mqMGTIGC/9tIfoE+7T6933+/efx//7x/7C7Yjd8hg9zZs7Btf92bePjq1evxj333IOv\nv/4aQ4cOxY033ogxY8a0+9hdd92FF198EU8++WTj65xyyim47LLLcPHFF+P666+HJEnYtWsXdu/e\njfXr12PHjh1YvHgxPvjgA7iui4kTJ+KWW25Bfn4+AGDHjh245ZZbUFZWBr/fj4suughXXnklLr30\nUhQVFeHGG29sfK8HH3wQjz/+OJ5++umY/A8SERGlMnusjbpdde0+R4QFzOEmJEVKUFSUzlgRSjEr\nX1uJO6+4E6sXrYau6bj9r7cDAPZX7ccP//hDnDzmZDx9y9O46z/uwmubXsODzz/Y+LvfHPgGX1d8\njZU/X4lLZlyC+9behzVvr8EDP3wAd3zvDqx+azU+2/kZAODeZ+7Fpzs+xR+u+QOeufUZjCsah+v/\ncj1C4RDqQ/X48Z9/jOOHH49nb30WF0y/AH9e/+cWsb6z+R389Wd/xeyJs/HB5x/grjV34bYFt+G5\nJc/hB+f8AHc8fge27dnW+PxN2zbBCTt44udP4KYLb8Lyl5djy64tAIB7nr4HFYcq8Nef/RVrFq1B\nrj+38bP/eM6PMXbwWFww/QI88fMnAABLVyzF4brDeOi6h/DUTU8h15eLRY8savVvurtiN25dfiuu\nmn0Vnl/6PBZftBj3P3U/Xn/9dQDAxo0b8Ytf/AKLFi3Cu+++i5kzZ+Lf//3fUVtb2+5j0XjhhRew\nYMECrFu3DgBw4403wufz4dVXX8ULL7yAqqoq3HHHHY3Pv+aaazBw4EC88cYbuP/++3H//fdj7dq1\nOO+88/DMM88gFAo1PnfdunU455xzooqDiIgo3cmqDGuU1W4XOfn/s3efAVFda9/Gr2HoIE0UARWM\nCoiKYMNCESu2iDWPsSb2GqNR8ST2GEus0Wgwx1hjYkcUY4xdiaDYEMUGiCBFlK7AwMx+P/AyORzT\nT2Srs35fIjPb4e/sTLn3WutehnqYuppWYirhdaYzI0JZx7J4duvZS3v80rOlPLn1pMJtRrWNqOJV\n5S89TlDrIOys7AAY6D+Q6ZumU6Qq4qerP2Fracv/+f0fAHVq1KF3m94cuniIUYGjAChSFTG4/WAM\n9Q1p696WLw9/SddmXTEzNqNZvWaYGJqQkpmCi4ML4RfDmTdoHtWtykYiRnYeyf6I/Vy+fxkTQxOy\nC7IZ3mk4RgZGeLt64+3qTcStiApZuzXvhrlJWVvKJnWaED4/nComZf9en4Y+GBsac/fRXZyqOwFl\nHVyGtB+CUk9JG/c2GBkY8eDxA+o51GNan2mo1WpMjEwAaOfRjnk75v3qc5Sdn825m+fYPm07lmaW\nAEzoMYHu87qT9DhJ+/vK2dvYc3jeYSxMLQDwauNFneN1iI2NpW3btoSGhuLt7U3r1q0BGD58OA4O\nDpSUlPzufX+Gvb09HTt21P4cEhICgKGhIYaGhrRv357vv/8egFu3bnH79m02b96MiYkJ9evX54sv\nvsDKyoratWszf/58IiIi8Pf35/Hjx1y/fp0VK1b8qRyCIAiC8CYwqWtCUUIRmmLNC/dJpWUbpCv0\nxGiQ8OfoTCH0uqhdrbb2zzWsa6DWqMnKzyL1aeoLX/AdbR1Jz0rX/mxubI6pUdlVEEP9spbQ5dPq\nym8rLi0muyCb58XP+XjrxygUv7xZqDVqMnIyqGJcBRNDE6zMrLT3udd2f6EQsrO2q/B3t/y0hVMx\np8guyAZAVapCVaqqcLxS75eFi8YGxhSXlA1xpzxJYd2hddx6eIsiVRESEqXqX0Y//tOjrEcAjFgz\nosLtego9MnIyXnieAA5cOED4xXAyczNBD0pKSlCpyrIlJydTs2bNX54nQ0N69Ojxh/f9GQ4ODhV+\njo2NZdWqVdy+fRuVSoVGo8HOrux5fPjwIaamptjY2GiPb9WqlfbPgYGBhIWF4e/vz08//USzZs1e\neHxBEARBeJMpFArMPc3JOZ+DnkHFiU16ZnoY1zGWKZnwOtKZQsimsw02nW3++MC/6ZHmEbb1bf/n\nx9FoXrzCoVAoKhQU/31fOT3FizMdf+02IwMjAL4c/yUNnRq+cP+JayfQV1b8X+M/f085fb1fjvnm\np2/46dpPLB2+FNearujp6RE4O/APHwPK/s3TN02nkVMjds7YiU0VG87FniN4S/CvHl+ef9/H+7Cp\n8sfn9FDUIbaf2M6ioYto498G65bWBAUFVcj1a8/7H933a9RqdYWf9fV/eY5yc3MZPXo0/fv3Z8OG\nDVhYWLB161a2bt0KgJ6e3u/+rqCgIMaMGUNhYSHHjh0T0+IEQRAEnWRY3RCjGkaUPP1ldoZUKmHu\naf6b3zUE4deINUKvmEdPH2n/nJ6djlJPiU0VGxyrOvLw8cMKxyY9TsKxquNf/h3mJuZYmVkRnxZf\n4fa0rDQArM2tKSgqoKCwQHtfXHLc7z5m3MM4fNx9aFC7AXp6ejx6+oj8wvw/lSerIIv07HT6+/TX\nFjbla5l+jYONA0o9JffT7mtv02g0pGen/+rxcclxNHZuTMv6LbHwtKCgoICkpF/WLtWqVYvExMQK\nj7V582YyMjJ+9z4jI6MKa4UKCwt58qTi9Mj/lJCQwLNnzxgxYgQWFmXT9G7evFkhR1FREWlpadrb\nzpw5w/nz5wFo2bIlNjY2HDhwgJiYGAIDKxaagiAIgqArzL3MkdS/rBVSWigxriVGg4S/RhRCr5jQ\nyFCe5D0h73ke35/5Hm9Xb4wMjOjg2YGMnAz2nNtDqbqU+6n3OfDzAbq16Pa3fk9Q6yC2nthKQloC\npepSDkYeZNjKYeQX5uNWyw0TQxO2ndiGqlTFxbsX/7B1tUNVB+6l3qOwuJCHmQ9Zd2gd1Syr8ST3\ntwuDclZmVpgYmRCbFIuqVMWpmFNcS7gGUDaVjbJRoNSsVPIL8zE1MqWTVye+Cv+K9Kx0ikuK2XRs\nE5M2TEKtUb/w+A42DiRnJlNkW0RmViazZ8/G3t6ejIwMAPr06cPly5c5fvw4JSUl7Nixg5CQEMzN\nzX/3PicnJ5KSkoiLi6O4uJjVq1djavrbCzQdHBzQ09Pj6tWrFBYWsmvXLhITE8nNzaWoqIgGDRrg\n7u7OqlWrKCgoID4+nn/961/k5eUBZaNTvXr1YuXKlfj6+lKlyl9bfyYIgiAIbwqliRKTeiZIGgmp\nRMK8sbnckYTXkCiEXjGBzQKZEjKFXgt6Uagq1La7rmFdgyXvLeHHKz/SdU5XPt72Mf3a9tM2T/ir\nhnUchk9DHyZ9NYnA2YEcuXSE5SOWU8WkCqZGpnw69FOOXztOt7ndOBR1iIHtBv7ucPPQDkNR6inp\nMa8Hc7bPYXDAYHq16sWW41sIvRD6u1n0lfrM7DeT7858R/e53Tkbe5ZFwxbh4ujC4M8Hk/ssl24t\nunHp7iUGLB5AqbqUKUFTcLZzZtjKYbw9/21ik2JZ9v6yCmuQygW1DsKpuhNvT3ybYcOG0atXL0aO\nHMnhw4dZtWoVDRo0YPXq1SxZsoQWLVpw+PBhQkJCMDMz+937OnToQGBgIIMGDaJjx47Ur18fJ6cX\n1yeVs7OzY8aMGcydOxd/f3/i4+O1zRA6d+4MwFdffcXTp09p27YtI0eOZNiwYXTr9kuxGxQURH5+\nvpgWJwiCIOg8M3czFPoK9G31MaxuKHcc4TWkkP7MzlSvoMuXL9OsWTO5Y2hFroykXv16f/vvl+/N\ns33adt6yf+sfTPb3qDVqJEnSrhXadmIbJ6+fZMvULfIG+wvi78dTt15dJI2ESV0TzBu9/leLoqOj\nmTJlCqdPn66w/uh18qq9dgVxTl5V4ry8esQ5efVc+uESnq08MbA2kDuK8B9epdfK72URI0LCCyRJ\n4t1l7/LVka8oVZeS8iSFwxcP07pBa7mj/S0KhQKzBq//DtOZmZksWrSIkSNHvrZFkCAIgiD8k/Sq\n64kiSPjbRCEkvEChUDB/8HxuPrxJ4JxAxq8fj7erN8M6DJM72l8mqSVM6pm89jtMh4SEEBgYiJeX\nF0OGDJE7jiAIgiAIwmtPXFZ+Rdjb2BOxPOKPD6wkbjXd2DBhg9wx/mcKfQWmbq//DtNjxoxhzJgx\ncscQBEEQBEF4Y4gRIeGNJaklTFxMxA7TgiAIgiAIwgvEiNA/RCqRUBeWtW7+q5t5SUh//Hck4M88\nrOK//vvfeRS/cux//PmFHL92/AuH/Mrj/3fWX3v83zjmN7P/3uP/yvEKKwWm9V//0SBBEARBEATh\nnycKoX+IgY8Btp62f1howF8rTP7s8WIn5Rfpm+uL50UQBEEQBEH4VaIQ+ocojBUozV7cw0YQBEEQ\nBEEQhFePWCMkCIIgCIIgCILOEYWQIAiCIAiCIAg6RxRCgiAIgiAIgiDoHFEICYIgCIIgCIKgc0Qh\nJAiCIAiCIAiCzhGFkCAIgiAIgiAIOkcUQoIgCIIgCIIg6ByFJEmS3CH+jsuXL8sdQRAEQRAEQRCE\nV1yzZs1+9fbXthASBEEQBEEQBEH4u8TUOEEQBEEQBEEQdI4ohARBEARBEARB0DmiEBIEQRAEQRAE\nQeeIQkgQBEEQBEEQBJ0jCiFBEARBEARBEHSOKIQEQRAEQRAEQdA5ohASBEEQBEEQBEHniEJIEARB\nEAThbxLbMQrC60sUQsIbKysri3PnzpGbmyt3FEEQBOENpVAo5I4g/AqNRiOK1FfInj17SE5OBsrO\nzatCFEL/gJSUFDIyMl6pE6vrfvrpJ6ZPn864ceMICAjg2LFjckcS/sO5c+eYNm0aFy9elDuK8P/d\nvn1bvIe9ou7cuUN+fn6F28S5kldWVhaRkZFs3LiR2NhY4JeRIXFuXg16enooFArUarUoiGSWnJzM\n7Nmz+frrr4Gyc/OqUM6bN2+e3CFed/379+eHH35AT0+PatWqYWZmJq4QyWz06NH07NmThQsXUlhY\nyOPHjzExMSEkJIRHjx5ha2tLlSpV5I6pk5KSkpgwYQLe3t4EBgZSUFDA4cOHSUpKIjU1lerVq2Ng\nYCB3TJ3y9OlTOnfuzOXLlzE0NMTZ2RmlUokkSdovEq/SB5euGTx4MM2bN6dGjRra28RnjLymT5/O\nwYMHSUlJ4cqVK7Rr1w5jY2Pgl3NT/voRKl9ISAj379/H3d0dpVKpfR8D8dqRwyeffIKdnR2FhYUk\nJibSsmVLNBrNK/G5Igqh/1FOTg5RUVEAHDx4kEOHDlFcXEz16tUxNzdHkiT09PS4cOECjx49ombN\nmjInfvOdOHGC6Oholi1bhrm5OVZWVmzcuJH4+HjS09MJDw/n2rVr+Pn5YWpqKndcnfPZZ59Ru3Zt\nZs+eTXR0NJ988gk//PADMTExxMXFkZKSQsuWLV+JN0hdUVpayq1bt4iMjOTcuXPs2LEDPT09XF1d\nMTAwYOvWrdSsWRMzMzO5o+qcAwcOcOHCBWbOnIlarSYlJYVvv/2WR48eYWxsjJWVFSC+dFem0NBQ\nTp06xc6dO2ncuDEHDx7EwcGBAwcOsGrVKrKysmjevLk4HzJRqVR8+umn7N+/n6NHj/LkyRMaNmyI\nsbExCoWC/Px8FAoFSqVS7qg64enTpyxYsICjR49Sv359du3ahaenJ1WrVpU7GiCmxv3PrKysMDc3\nZ8CAAVy9epU+ffqwefNm+vfvz/Lly0lISABg2rRp4kVXSZ49e4aDg4N2bdClS5coLS3l888/59tv\nv+XIkSOkpaXx888/y5xU92g0GoyNjWnWrBkAK1aswN/fn8jISLZv306HDh3Yv38/K1eulDmpbrGw\nsGDhwoUMGjSIH374gTlz5vDNN98QEBDA2LFj2bt3L9WqVZM7pk766quvmDx5MgCbNm1i/PjxhIeH\ns3jxYvr168c333wDiKvclWnPnj0MHToUCwsLmjRpQps2bdiyZQuJiYm0bduW3bt3ExwcrB2BECqP\nJEkYGhoybdo0mjVrxsCBA7l79y5BQUEsWrSI58+fM2fOHO1aFTFl7uVbuXIl7du3B8DZ2Zk6deow\nceJE7ZRSuacuikLof1B+4oKCgtDX1wdg8uTJREVFMXnyZI4cOcK7775Lv379sLS0pEWLFnLG1RlN\nmjQhOTmZxMREAIyNjVmwYAEWFhYUFBRQvXp12rVrx9WrV2VOqnv09PRwc3Nj7dq1nDlzhho1ajB8\n+HAUCgXVqlXj/fffZ9asWdy5c4eCggK54+qM0tJS7O3t0dPTY8qUKQQGBnLu3DlWrFhBVFQUKSkp\nzJgxQzQeqWQRERHk5OQQFBQEwDfffMPUqVPZtWsXUVFRTJs2ja+++orQ0FCZk+oOtVpN3bp1K6zZ\nCg0NZeDAgaxfv54PP/yQcePGcfv2bVJTU2VMqpvKLwi0bdsWS0tLLl68yOzZs/nwww/JyMigU6dO\nHD16VPv5Ii4gvFwlJSUcOXKEKVOmAGXfx+bPn0/z5s0JCQkhMzNTO3VRrmJIFEL/g/IXULt27QgI\nCADKvlAADBo0iDNnzrB8+XJiY2OZPn26bDl1iSRJODk5sXTpUu0V7EGDBtG2bVsAzM3NAfj5559F\nYSqTd999l/bt23P48GFycnLYu3dvhfs9PT21V4qEyqGvr49CoeBf//oXlpaWrF69GgAzMzNsbW1Z\nu3YtycnJYrpiJduzZw9qtZrw8HC2bNlCixYtaN++PSYmJgAMHDiQLl26cPXqVTH6UEmUSiV16tQh\nIiKC3Nxc8vPzmT17Nr169dIe079/f9RqNdnZ2TIm1W0GBgYsW7YMgMTERHr06MEXX3yBjY0N7u7u\nDB8+nF27dsmc8s2XkpLCzJkzcXJyqtDFb+zYseTm5vLuu++yd+9eCgoKZCtK9WX5rW+AwsJC7t27\nx927d6lWrRq+vr5A2RcKSZIoKirCxMQEExMTrK2ttcOCwsuVlZWFQqHA2toaCwuLCvddv36dpKQk\nIiIiUCgUdOvWTaaUwsiRI1m/fj23bt0iLS2Np0+f0qhRI6pUqcLWrVtp3bq1tmgVXp74+HiqVauG\nhYUFarUapVLJ+PHjWb16NcXFxXz55Zf06tULPz8//Pz85I6rc4KDg9m6dSurVq2itLQUFxcXMjMz\nqVatGqWlpejr69OyZUu+/fZbMfW6Er333nu0b98eMzMz9PX1CQwMrHD/sWPHyM3NxcPDQ6aEuk2S\nJEpKSjA3N8fb25vPP/+c/fv3k5CQQE5ODjt37iQjIwMXFxe5o77x6tSpg7OzM1A2eFBe7Dg4OLBx\n40bWrFnD999/z+XLl5k3bx5GRkaVnlEUQn/TmjVruHTpEnl5eVSrVo3q1avToEEDVCoVhoaG2it2\ne/bsYfz48TKn1Q07duzg+PHjXL16lUaNGmFhYYGnpyc9e/bEwcGB77//npMnT9KvXz+WLFkid1yd\nExsbS1RUFLa2trRu3ZrFixfTp08fdu/eTWRkJCdOnCAlJYX+/fszZswYuePqhKlTp+Ln56ddw6jR\naPDw8KBhw4b4+vqip6fHsmXLXpnuProkLS0Ne3t7Zs6cyYQJE9i1axdPnjzRjnTr6+uTlZXF1q1b\n6dGjh8xp33zlzSjKC1AnJyftfYaGhgCsWrWKjIwMbt++LT73ZaRQKLTnZNCgQURFRbFy5Upu3LhB\nt27dqFWrFrVq1ZI5pe4o//z4zxEfSZIwNjZm5MiR2k7LchRBAApJrBT7yx4+fEifPn04evQopaWl\nLFmyBHt7e6pUqUJKSgrm5uYMGTKEWrVqcfnyZe3CcOHlefjwIf3792fZsmXY2dlx9epVbt++zf37\n9zE0NKRXr14EBQWRm5uLpaWl3HF1zoEDB9i1axdpaWkYGBjg7OzM2rVrtRcMkpOTKSoqwsLCAhsb\nG9E+uxJs2bKF9evX4+LiwpgxY7Sj2uVmzJihnUIiVK74+Hh69uzJtWvX0NfXf6EIvXXrFmvWrCEz\nMxMbGxv+/e9/y5RUd+Tn5yNJknamQfk0n/KRuPj4eEJCQsjOzmbYsGH4+PjIGVcnXblyhbNnz/Lg\nwQN8fHxwd3fHzc2N7Oxspk6dyr1799izZw+Ojo5yR9UJ4eHhdOjQQdtWvnx/rV+7qFY+I0EOohD6\nGz777DOeP3/Op59+CkBUVBQTJkygRYsWODg48ODBA+zs7Fi4cKGYrlBJFi9eTGFhIQsWLNDe9vz5\ncy5dusSxY8eIi4tj0qRJBAQEiKvbMmjXrh3BwcEEBgaSnJzMuHHj8PX1ZebMmeJ8yMTHx4eVK1fy\n5MkT1q1bx4oVKyqMaqempmJtba0tVoXK8+GHH2JqasqiRYsoKCjQXtSxsrLC2dkZGxsbfvrpJywt\nLWnXrp2YRloJZsyYQVhYGL169WLChAnUrl0bKLuyrVar0dfXp6SkRFzEkcmxY8dYu3YtderUwdDQ\nkNOnT2NiYkL79u3p27evduP79957T+6oOuHUqVOMGzcOZ2dnunTpwrBhw7CxsQHKCiK1Wv3KvFbE\n1Li/oWrVqjx+/Fj7BW7dunX06tWL2bNnA3D06FGWLFlCdHQ03t7eMqfVDVWrViU2NlY7bQHA1NQU\nf39/fH19WbZsGZ999hnNmzcXG6lWsmvXrmFlZUVgYCCSJFGrVi3Gjx/PmjVrGDt2LKampujp6XH8\n+HFUKpVYu1UJwsLCMDMzo2XLlkDZ+rnvv/+e+fPna6eUODg4yBlRZ2VlZXHq1CmOHz8OlG1EmJiY\nSHp6OlZWVtSuXZvRo0czaNAgmZPqFjs7O/z9/UlKSqJz5860bduWKVOm0LhxY+1nTmZmJnFxcXTo\n0EHmtLpn7dq1jB8/nq5du2pv27NnD5s2beLHH39k/vz5ogiqRFWrVsXd3Z2WLVty/vx5wsLCCAgI\nYPjw4dSuXVt78XP16tWMHj1a1j0dxWXYv6F169bExMTQv39/3n//feLi4hgyZAhQVukGBgbi7u7O\no0ePZE6qO9q0acPdu3fZtm0b6enpFe7T09Pjo48+onr16sTFxcmUUHdZW1vz/PlzDh06pJ0j7Ovr\ni7GxMffu3dNeFZo7dy7W1tZyRtUZy5Yt065hKCkpoW/fvly8eJExY8bw4MEDecPpuLVr1+Lp6Ymt\nrS03b97k4sWL2jbmn3/+OQYGBowfP5579+7JHVWnODo6olKpCAkJ4YsvvgDKusP179+fM2fOAGWz\nRcr/LFSe8j2B3N3dgbINVaHs/Bw9epRx48axcOFCTp06JVtGXWNnZ0dJSQnDhw9n/vz5DBw4UPtd\nedq0aaSnp/Pjjz/y7bffyr6xvXLevHnzZE3wGqpevTpOTk7avYFMTU2Jjo7Gx8cHAwMDHj9+zJIl\nS5g7d66YVlJJbG1tUavVbN++nRs3bmBmZoapqSlGRkYolUpycnL4/PPP+eijj7TzVYXKYWVlRWpq\nKsXFxTRt2lS7SDI6OppHjx7h5+fHvn37iImJ4V//+pfccd946enp/Pzzz3zyySdAWTvgqlWr4ufn\nR1RUFAkJCdStW/eFrovCy6fRaFi5cqV20fCRI0fo3LkzHTp0QK1WY29vT/fu3Tl//jyOjo7Ur19f\n5sS6QZIkrKysMDIywsvLi3r16uHv70/r1q1JSkpi/fr17N27lzt37vDVV1+Jz/1KJEkSlpaWREVF\nkZycTNu2bVEqlajVakpKStDX18fT05OEhATS0tJo27atmIpdSczMzKhWrRqurq40btyYJk2aYG9v\nT1xcHJs2bWLPnj0sXbpU9vcxUQj9BZIkUVBQwNOnT3FycsLHxwdXV1cMDQ0JDw/n7t27HDp0iKNH\nj9K0aVMxxacSKRQKPD098fLy4ty5c/z73/8mJiaGhw8fsnfvXg4dOkSTJk1EdyWZNG3aFGdnZywt\nLSktLUWpVCJJEgcPHmTgwIFMnz6dsWPH4ubmJnfUN565uTn9+vWrcJtGo8HKygpLS0u2bdvGgQMH\n0NfXp3HjxjKl1E0KhQJHR0fy8vKIjIzk0aNHmJub4+vri1KpRKVSoVQqOX78OKWlpbRp00buyDpB\noVBgaWmJtbW1ttmOsbExtWvXpnXr1vTv35/du3fTvXv3F1ppCy9X+SyDZ8+esWbNGm7dukWjRo2w\ntrZGX18ftVqNnp4ehYWFnDhxgv79+8ucWDcYGhrSsGFD7SwPpVKJra0trq6utG/fnvT0dPLyT/ov\nWgAAIABJREFU8iqs65aLaJbwF6xbt45Dhw5Rs2ZNcnJycHNzY9CgQbi7u7N//37Onj3Ls2fP6NCh\nAz169BALWCtBYmIiderUeeH2+Ph4du7cSVZWFnp6evj6+tKxY0dxTiqRSqXiwYMHZGRkkJ+fT7Nm\nzbCzs9Pen5GRweTJkzExMSE+Pp5z587JmFY3qFQqEhISyM7OpkqVKjRq1EjbFricWq1m4cKFXLt2\njdDQUBnT6p5t27YxePBgNBoNP//8M1FRUdSvX5+goCCg7MtednY2vXr1Yv/+/RVaOAsvx7Vr16hd\nu7Z2oTe82P1KpVLRrFkzwsPDtU0UhMp39epVli5dSnx8PM2bN2fEiBG4ubmRkJDAnDlzCAoKEl0w\nX7L8/HzOnz9PQUEBbm5umJmZ4eTk9ELjsN69e9O3b18GDx4sU9JfiELoTyq/Sjpr1iyUSiUxMTEs\nXboUW1tb/Pz8mDp1KpaWlmg0Gtl6oeuasLAwNmzYQOfOnfH396dp06YvHFNcXCzOh0xWrVpFREQE\nOTk5VK9enfj4eLy8vJgyZYp25Ofs2bOMHTuWzz77TPtlT3h51qxZw7lz50hISKBRo0YsWbLkN5si\n5Ofni8YilWjv3r188sknzJ49u0IjhPJOZMeOHePAgQOkpaXRokULPv74YxnT6obw8HCmTZvGmDFj\ntPtr1ahR44Xjvv32W86ePUtISIgMKXVXXl4eR44c4cqVKyxYsABjY2Nyc3M5efIkJ06c4PTp01hZ\nWVGjRg3q1asn9g98yVJTU5kxYwYqlYr09HRKSkpo1KgRLVu2xMfHBzc3NxQKBQkJCYwYMeKVWbMl\nCqE/qU+fPowcOVI73a2goIC1a9fSsGFDjh8/jomJCYsXLxZzTyvRl19+ya5du3jrrbdQq9W4ubnh\n7+9Pq1attF18AM6fPy/2dKhkycnJ9OnThwMHDmBoaEhWVhZ3795l37593Lhxgy5duvDBBx9gbW1N\nWFiYmK5QCR4+fEi/fv3YvXs3UNaNzN/fHxMTE3JycjA3N6dnz55UrVpV5qS6qW3btnTv3p24uDg+\n+OADmjdvDvyykWdMTAzHjh2jc+fO1K9fX6xDqQSZmZn07t0bMzMzateujb29Pa1ataJVq1YUFhZy\n/Phxhg0bRkZGhnbqj1B5ZsyYwdOnT+nbty/dunUjOjqatLQ0zM3Nsba2pnbt2sTExODk5ETt2rXF\ndiYv2dSpUzEzM2PGjBlUqVKFa9eusW/fPi5fvkz16tWZOHGi9n0tKyurwiirnMQaoT+hsLCQy5cv\nY2trq50zb2hoyJdffkmHDh0ICAggJCSEjIwM8YW7EqnVau7cucO8efPIycnh1q1bXLp0iZiYGIqL\ni6lXrx47d+7km2++4Z133pE7rk7Zvn07ZmZmvPPOO5iZmWFra4uLiwt+fn689dZbXLlyhZycHFq3\nbk3Dhg3ljqsTVq9erZ1mZWVlhbW1tXYfodzcXOLi4sjOzhYt/2Vw8OBBrl+/zsaNG0lNTWXbtm20\nbNkSa2trbSFkZ2dHmzZtsLOzQ19fv8J0RuGfJ0kSZmZmmJiY8OzZM4YNG0ZiYiInTpzgwYMH7Ny5\nk+fPn9OlSxfMzc0xMTER56QS5eTkMGfOHDZt2kTTpk0JDg5m7969hIWFcenSJZKSkqhfvz6tWrXC\n2tpaXKR+yQoLC9m4cSMff/wxdnZ2aDQa7O3tad++PW3atOH69eusWrUKFxcX3nrrrVfqQo4ohP4E\nAwMDEhMTWblypXakobzK/fjjj7GxsaFOnTpERkYSEBDwymwS9aYrKSnhwYMHdOrUiYCAADw8PCgu\nLubu3btER0dz/fp1Nm/ezLx583B2dpY7rk559uwZp0+fpkuXLtqpiQqFAlNTU9zc3NBoNGzYsAE/\nPz8xAlEJNBoNkZGRqNVq2rVrB8C8efNo1qwZa9eupUePHjx//px///vf+Pr6iivblWzSpEmMHz8e\nNzc3PD09iY2N5d69e/j6+qJQKLSbdpZ/mRNfuF++8ue4fv36hIWFIUkSM2bMoEmTJly5coUzZ85g\nZ2dHXl4e9erV0+6/JVSO+Ph47t+/z5AhQ7h16xZr164lJCSEWbNm0bBhQy5dusRXX31FQECA+Ix5\nycrfny5evEhCQgK+vr7o6emhUqlQKBTY2NgQGBjIkydPSEtLw9fX94W1qXIShdCfkJubS5UqVXjr\nrbe4dOkSK1eupEqVKkyePFm7MPLq1aucOnWKoUOHypxWN2RkZKBSqejXr5+2HbaNjQ0tW7bE09MT\nKysrDh48iJ2dHTNnzpQ5re4xNTXlwIEDnD17FgsLCxwdHbXTEiRJokGDBly4cIEaNWrI3jpTFygU\nCpRKJdu2bSM6OpojR44QFRXFF198oW0g0qRJEy5duiTOSSW7cOECR48eZenSpUiShL6+PjVq1GDd\nunVERERoN4EWV7QrnyRJGBgY4OXlxe7du6lfvz6urq5cuXIFIyMjXFxcSEtLo3PnznJH1TmmpqZs\n27aN1NRUsrKycHV1JTAwELVaTc2aNenZsyfR0dFYW1uLbqQvmUKhQF9fn+LiYr777jskScLLywul\nUolCoaC0tBQ9PT2MjIz47rvv6NOnT4XlC3ITa4T+wIYNG4iIiCAxMRGlUsmUKVNo1aoV5ubmWFhY\nEBkZyYkTJzhx4gRTpkzh7bffljvyG2/dunVERUURExODh4cHy5cvr9CNrFynTp348MMPRRtzmSQk\nJLBixQry8vJo1KgRzZo107527t+/T58+fTh9+vQrM0/4TVdQUMC+fft48OABdevW5dKlS9SpU4eJ\nEyeir69PVlYWHTt25MSJE2Jj20p09uxZSkpK6NChg7YxApTt9zR37lwsLS3p3bs3np6er9R0El2z\nYsUKLl++zJo1a+jduzchISE0bNgQlUolRoNkEhkZSUhICLVq1SIxMZGFCxdWmP0xefJk7O3tmTVr\nlnwhdcB/ju7s3r2bVatWoa+vz8iRIwkKCtJOG124cCE5OTnaDYlfFaIQ+h2xsbGMGzeOqVOnYmNj\nw8mTJ8nOzmb16tXo6elRXFzM0aNH2bt3L8OGDaNjx45yR37jxcbGMmHCBGbPnk2VKlVYt24do0aN\noqCggLS0NHr06IGdnR3R0dEMGzaMmzdvyh1Zp+Tm5pKQkMC9e/do3749hoaGbNu2jQsXLgBlbWaL\nioqwsrLC1dVVu6mn8HKpVCr09fUpLS3VfmkLDQ1lx44ddO7cWXverK2t+eyzz2ROq9skSUKj0aBU\nKomMjGTDhg3Ex8czduzYV6LV7JuutLSU5ORknj17hlKppH79+tqr18HBwVy6dAlnZ2c2bdqERqMR\nI3UykiSJAwcOEBISQlJSEoGBgbRr1w5ra2uKiooIDg4mNDRUtJl/yVQqFZcvX8bR0REzMzNyc3P5\n4Ycf2LNnD9nZ2TRv3pzHjx9jYmLCqlWrcHR0lDtyBaIQ+h3Tp0/H0dGRKVOmAL8URgsXLqRdu3ba\nN8GUlBRq1qwpc1rdMHnyZOrWrcsHH3wAlI0OHThwgOrVq5OVlUVKSgrTp0+nd+/epKSkiIX4lWzS\npEncu3cPIyMjSkpKWLRoEV5eXmRkZBAVFUVBQQHZ2dn4+vri5uYmrqRWgm+//ZZvv/2WmjVrYmho\niKurK927d+ett95i3bp1nDlzBn19ffz9/fm///s/rKys5I6sMx48eMC1a9coLi6mbt26NG/e/IUv\n10VFRaxcuZLGjRvTs2dPGdPqhnXr1nHixAni4+Np1KgRY8aMwd/fH4CbN28ye/Zspk6dKhojySQ7\nO5sLFy6QlZWFh4cHHh4eAHz33Xfs3r2boqIinj9/TtWqVenbt2+FVvTCP+/HH3/k4MGD3Lx5E319\nfZycnHB3d6d58+a4urpy7949oqOj8fDwwN3d/Te3a5CTKIR+g1qtZv78+VhbW/Phhx9qby/fu2HR\nokUAREdHM3HiRCIjI2XJqUtUKhUzZ86kefPm2je3fv360aZNG0aPHo25uTlffvklZ86cYfPmzZiZ\nmcmcWLds376dw4cPs3z5cnJycti3bx83b95k06ZNWFhYyB1PJ23fvp29e/cyYcIESktLuXLlCrt2\n7cLFxYUOHTowatQo7SidWFBcuVJTU/noo49ITU2latWqWFhYMGfOnAobRKvVatHytxI9fPiQPn36\n8M0332BsbMyOHTs4duwYu3bt0o4qZGZmUq1aNZmT6q6RI0eSn5/PgwcPKC4uZurUqRXWZsfExGjb\nZ1tZWb0yC/LfVH5+fowZM4Z+/fqRk5PD7NmztXsGenl5vRaFqBjT/Q1KpRI3NzeOHDlCcnIy5fXi\nO++8w5UrV8jKygLK1hD17dtXzqg6w9DQkAYNGrB69Wo2bdrEnDlziIuLY+zYsZibm1NaWsrAgQMp\nLS0VU+JkcOTIEQYPHkytWrVo3LgxEydOpKSk5IVzcezYMZkS6p5du3YxadIkOnfuTLdu3Rg1ahQ9\nevSgZ8+eXL58mZUrV2JmZiaKIBksX76cevXqcfr0aVasWIFSqSQ4OLjCMaIIqlw7d+6ka9eueHh4\n4OLiwoIFC2jQoAHHjx8HyrovVqtWjaNHj2q/AwiVJywsjJSUFL755huioqIIDg5m+/btPH78WHuM\nh4cHTk5OWFtbiyLoJbt48SLW1tYMGjQIIyMj7OzsmDZtGn5+ftSuXZvVq1cza9YsSkpKKC0tlTvu\nbxKF0O949913mTBhAvBLK82aNWtiYGBAXl4eGRkZXL58WTtNS3j5Ro8eTd++fdm9ezd169alTZs2\n3Lt3D0C7BiI1NRVPT0+Zk+oWSZKoX78+8fHx2p9tbW2pW7cuZ8+e1R63ceNGFi9eLFdMnZKbm4u9\nvX2FaVZ2dnakpaXRqFEjRo8ezf79+/n6669lTKmbCgsLiYuLY/jw4QA4Ozszf/58cnJyiImJQaPR\nAGUNE8T5qTy2trbk5uZSWlqKWq0Gyq54nzt3DgA9PT2SkpJYsmSJGOWWwenTpxk6dChmZmbarrFV\nq1bVbhJd7t///jfZ2dkypdQdBgYGlJSUcObMGe1tqampPHjwgMmTJ7N9+3ZiYmJITEx8pbrE/TdR\nCP2BoKAgatWqpf3ZxsaGBg0asHfvXhYtWkSPHj3EOodKFhwczI8//siwYcOoUqUKkyZNIiwsjOPH\nj/PRRx+JcyIDhUJBw4YNOXz4MHfv3tXe3rt3b3744Qftl4qdO3ciOvZXDktLS2rVqsXcuXMJDw/n\n/v377Nixg8TERJo3b463tzcfffQR8fHxlJSUyB1Xp+jp6VGrVi2OHDkClI00ODo6UrduXa5du6Yt\nXhcvXkx6erqcUXWKl5cXDx8+5NKlS9rRuE6dOpGUlERycjJQ1j2uTZs2r/QXuzeVs7MzR44c4enT\npxgaGqKvr0/Hjh25fv26dtbOvn37CA0NFZ0vK0HDhg1xdnbmu+++Y9euXWzYsIE1a9bQvn17ANzc\n3Khfvz4nT56UOenvE6/kv2Hs2LEMGTKEJ0+eaLthCfJYvHgxixcvZunSpUDZ1MURI0bInEr35OTk\n0KZNG9q0aVPhwkHDhg0xNTUlMTGRuLg4DAwMtAuPhZfn5s2b3Lt3j3HjxlFSUsK2bdu4ceMGXl5e\nzJkzR3ucUqnk3r17YhPoSmZkZETbtm25cuUKT5480W5g27ZtW0JDQxk6dChPnz7l1KlTnD59Wt6w\nOsTd3Z2pU6dqWzCr1Wpq1KiBg4MDFy5cwM7OjjNnznDq1Cl5g+ooHx8f7t69S0ZGhnY6b5cuXdi+\nfTuZmZlUr16djRs3Mm7cOJmT6gZDQ0M++OADVq9eza5du9DT06Nz584MGTJE2/QlLi7uld9nSzRL\n+JvCwsLIyMhg1KhRckfReaWlpZSUlJCXl/er+wkJL9eGDRs4f/489+/fx9bWlgULFtCsWTPtG+Gy\nZcvQ19fn2LFjjB07lqCgILkjv/H69Omj7ZiUl5dHTEwMtra2uLq6olAouHjxIlevXtU2UhDnRB5x\ncXE0aNBA+3N8fDzvv/8+R44cYdWqVTx+/PiV23PjTZScnIyjo6N2JK78a1H5lPgtW7YQGRmJmZkZ\nRUVFfPnll7Jl1XUPHz7E3t4eAwMDioqKMDY2ZtiwYQwaNIiaNWsyevRozp8/L3fMN1p+fj4xMTEU\nFRXRoUMHAG1xqq+vT15eHl9++SXR0dHo6emxZ88emRP/PjEi9Df17NlTO49bkJe+vj76+vpis0EZ\nxMbGsnPnTqZOnUrVqlU5evQoW7duxcPDQzvK8Pbbb/POO+9gamoqvnBXgtjYWJKSkrTdeqKiojh+\n/Di3bt3C39+fd955h2fPnnH48GFRmMrg7t273L59mw4dOlQogiRJom7durRq1YpPPvmEEydOcPDg\nQRmT6o5JkyZhY2ND165d6dq1K+bm5gDaiznvvvsuFy5cIDw8XNs4Qag8BQUF3LhxAyh7ndSoUQMA\nY2NjoGwkdevWraSkpDBy5EjZcuqKzz77jFu3bvHOO+8AZUXQ48ePUalU1KpVCwMDA2rWrEnt2rXx\n8/OTOe0fEyNCgiD8bf+919atW7cYO3YsCxcuxN/fX7vj9PHjx6lRowaNGjWSOfGbb8SIEbi4uDBz\n5kz27dvHunXraNq0KXXr1iU8PJyUlBTWrFmDj4+PWOdQyUJDQ/n666/x9vZmzpw5qFQq4uLicHR0\n1E6Pi4+PZ/DgwbRp04YVK1bInPjNV1BQwPjx40lKSsLLy4usrCx8fHzo1asXdnZ2REVF4eXlxfnz\n54mNjWXy5MlyR9Yp6enpLFq0iEuXLuHg4IBSqaSkpIROnToxePBgLC0tARg1ahQxMTFERUXJnPjN\nlpycTPfu3YmIiKBKlSp88cUXhIaGYmZmhlqtpmnTpkyePJlq1aq9Nl37RCEkCMLf8lf22powYYL4\ngKoEycnJdOrUiaNHj+Ls7Ezfvn0ZPXo0Xbp0Aco255w/fz65ubmsX79e5rS6p23btsyePZvAwEB+\n/PFHNm/eTHZ2Nnl5eTRr1owPP/yQunXrcvDgQZo2bVphvZ3w8ty7d48PPviAoKAgTE1NOX/+PM+f\nP6dOnTrs2rWLa9euaUcfhMo1bdo0DA0NmTdvHpmZmdy+fZuYmBgiIiIwMDBg0KBB9OzZkzt37pCe\nni7WoL5ku3fvJjw8nK1bt3LkyBGWLl3KggULAEhKSuLUqVPUrVuXjz/++LUphJTzRAsnQRD+Bj09\nPdLS0tizZw8BAQFYWFigUCioVq0a27dvp1u3bpiYmPDJJ5/g7+9P27Zt5Y78xrt16xYHDx4kIiKC\n+/fvY2BgwIABA7RTffT19alRowaHDh2iadOmYv+gSnT79m3Onj3L3LlzKSgoYOjQoQwdOpQuXbrQ\nunVrbty4wdmzZ/H19cXLy0t7pVt4uSRJ0r4OHjx4wKRJk3B3d8fR0ZE9e/ZgbGzMw4cPcXZ2Fht0\nVrLCwkLWrl3L3LlzsbW1xcLCgrfeeovGjRvj4uJCVlYWEREReHp6Ur9+fW2TC+HlsbCwICwsjICA\nAKKjo2nRogW9evXC2dmZRo0aYWhoyObNm2nRosVrs2ZbtM8WBOFv+zN7bV25ckXstVVJWrduze3b\nt+nXrx/Hjx/n1KlT3Llzp8IxVatW1X6xEyqHJEk4Ozvj4ODAqVOnSEhIwNfXl8GDB9OxY0e6d+/O\n1KlTSUlJeeVbzb5JNBqNtrV/165diYuLY8WKFdStWxcvLy9yc3MZNGgQ+fn5qFQqUQRVMkmScHJy\nIjw8vMLt5ubmeHt7M336dBQKBVu2bEFMbnr5NBoNdnZ2ODo68u6773Lr1i0yMzO19+vp6dG9e3dc\nXFy4f/++jEn/GjEiJAjC/8TNza3C1WsTExOuXbtGUlIShw8fpnHjxnTq1EnGhLqnadOmvP/++3h5\neeHt7Y1SqSQlJYU7d+6wbNkyvL29tXs9CC+fQqFAX1+fhw8fsmTJEtRqNaWlpXTs2BE9PT00Gg01\natQgLy+P+Ph4cW4qgUqlQl9fX/v8m5qa0rx5c3bs2EHHjh3ZsWMHxsbGzJkzBy8vL3HhQAYGBgYU\nFhayd+9eSkpKsLGxqfBZY2RkhJOTE2FhYfTq1Uu795PwcigUCpRKJV27diUnJ4crV65w+vRp1Go1\nTk5OmJubExkZycaNG5k3b95r08BKFEKCIPzj6tWrx+LFi7lx4wabNm16bd4Q3zS1atVCqVSSnZ3N\n6tWrWbNmDX5+fnzwwQdi02EZtGzZEmtra86dO0dkZCQFBQXavbbS0tJYtmwZPXv2rNBNTng5Ro8e\nTXh4OK6urtpGFdbW1jx48IADBw4QHh7OJ598gqOjo3ZqqVA5ypvsQNledNnZ2YSFhXH79m2KiooA\nqFatGgBr167FwMCAHj16yJZXFxQWFpKSksK1a9ewsLCgdevW2unwly9fZuPGjWzZsoXr16/Tq1ev\n1+pijmiWIAjCSyH22np1aDQanj9/TmZmJnXq1JE7jk559uwZZmZm2p8LCgqIjo7m1KlTnDlzhidP\nnlCzZk2USiW1atXiq6++kjGtblCpVMycOZMffvgBABcXF6ZNm6ZdaN+/f39q1arFypUrK3wpFypP\neno6t27dwtDQEB8fHy5dukRISAgPHz7E0dGR0tJSnj9/DsDq1atFY5GXbNasWURGRmJlZYWNjQ1z\n586ldu3a5OXlce/ePbKzs3n69CmtW7fG0dHxtRqdE4WQIAgvhSRJaDSa1+oNURD+adOmTSMmJoYR\nI0bQv39/7eshJyeHtLQ0UlNTuXfvHs2aNaNBgwZi9KGSZGRk8Pnnn9OtWzfu37/Phg0bsLGx4eOP\nP+bTTz/liy++oFGjRtq9hITKc+zYMTZt2kRqaio1atTAw8OD2bNnA3Djxg1+/vlnTExM0Gg0dOnS\nBXt7e5kTv9m2b99OWFgY8+bNIz09ne+//x6NRsP69esxMjKSO97/TBRCgiAIgvASqFQqxowZg1qt\n5unTp2g0Gnr27MmQIUOoUqWK9rji4mJyc3OpXr26jGl1R/koz7p16zh16hTbt2+nuLiYQ4cOsWrV\nKkpLS5k8ebIYzZZJ+/bt+fDDD2nQoAGxsbGsWLGCsWPHajeJFipXnz59GD16NIGBgQAkJCTwwQcf\nsGLFClxcXLTHRUREvJbdYcVlDkEQBEF4CQwNDXFxccHOzo5FixYREBDA0aNHCQoKYsmSJTx69AiA\nIUOGsHfvXpnT6o7yqW4TJ07Ezc2Nr7/+Gmtra4YOHUr16tV5++23Wb9+Pdu2bZM5qe65cOECRkZG\n9OzZk3r16hEUFMTo0aM5d+4cpaWlFBcXA3D+/Hni4+NlTvvmU6lU1KlTh5ycHKBsmvVbb71FtWrV\nOH36tPa4b775hpUrV8qU8n8jCiFBEARBeEnatm1LixYt8PT0ZOzYscybN48+ffpw+fJlhg4dyqRJ\nk4iPj2fkyJFyR9UpGo0GgEGDBhEREUFGRgYXLlxAT0+PRYsWceXKFYYMGSJzSt1jZWWFpaUlqamp\n2ttatWrF7du3yc7O1k7F+uijjyocI7wchoaG1KtXj82bN5OUlKS9vXfv3oSFhWl/3rx5M5MnT5Yj\n4v9MX+4AgiAIgvCm8vPz0+61YWFhQdOmTXF3d8fX15eEhARmzZrFiBEjRBe/Sla+7sfd3R1/f3+m\nT5/OgwcPeP/99wFEgwSZ2NvbU1JSwvbt25kxYwaSJFG/fn1q1qzJ4cOHee+99wgNDcXS0hJfX1+5\n477x8vLyCAgIwMfHBycnJ+3tjRo1oqioiKysLM6ePYuJiYm22cjrRhRCgiAIgvASlbf6LWdsbIyH\nhwf29vYYGBgwYsQImZIJABMmTCAlJYWCggL69u0rdxydZmVlRUhICE+ePEGhUGg3Su3YsSMnTpzg\nvffeY8OGDYwbN07mpG++kJAQzp8/z4MHD/D09GTJkiXaDph16tTBy8uLsLAw9u3b91qfD1EICYIg\nCEIlKl+sHxISQtu2bbG2tpY7ks6bNWsWSUlJFZpYCJXnP9vM29raYmVlBfwyMte+fXtOnjxJSEgI\nz549IygoSLasuiA2NpbvvvuOSZMmYWhoyMaNG0lOTiYtLY3ExER69uzJmDFj6NGjBzVq1KB3795y\nR/7bRNc4QRAEQZBBTk4OkiSJQkjQedOmTeP69euMGDGCAQMGaNvMq9VqJElCX1+fzz//nE2bNjF7\n9mzRQe4lmzhxIvXq1WPKlCkAzJ8/n/T0dFJTU3n27Bnp6eksXLiQkpIS7OzsXttpcSBGhARBEARB\nFuVXvQVBl6lUKrKysnBwcGDHjh1s27aNXr16MXjw4Ar7ag0cOBBLS0tRBL1kKpUKhUKBu7u79rbT\np0/TqVMnZs+ejYODA6tXr2bnzp1s3rz5td/7THSNEwRBEARBEGTxa23mjxw5Qq9evVi6dKm2O1xw\ncDAqlUrmtG8+Q0NDqlevztatW1Gr1eTl5dG0aVP+9a9/4eDggEajYeDAgZSUlHDnzh254/7PxNQ4\nQRAEQRAEQTZnz54lPT2dAQMGkJeXx/3797lw4QKnT58mKyuLBg0aEBERQVRUlOiwWAmePXvGzz//\nTOvWrTE3N0elUlV43jMyMnj77bc5d+7ca38+RCEkCIIgCIIgyCozM7NCh8WioiLu3r1boc38Rx99\nJGNC3aLRaLRt5svduHGDZ8+esX79eurUqcP8+fNlSvfPEYWQIAiCIAiC8ErKzMykQ4cOnDlzRjQW\nkVFycjLvv/8++fn5DBgwgNGjR7/264NAFEKCIAiCIAjCK6a8zfynn37Ko0eP2LBhg9yRdJpKpSIv\nLw+VSoWDg4Pccf4xohASBEEQBEEQXkmizbzwMolCSBAEQRAEQRAEnSPaZwuCIAiCIAiCoHNEISQI\ngiAIgiAIgs4RhZAgCIIgCIIgCDpHFEKCIAjCnzZkyBCWLl0qdwxBEARB+J+JQkgQBEHqY3F8AAAL\nTUlEQVQQdMSWLVtQqVRyxxAEQXgliEJIEARBEHRAVlYWS5YsoaSkRO4ogiAIrwRRCAmCILwGvv76\na9q3b0+TJk3o0KED27dv19538+ZNhgwZQosWLWjVqhUzZsygoKAAgJSUFFxdXTl58iTdunWjSZMm\nTJ06leTkZAYOHIinpydDhgwhOzsbgODgYIKDg/n0009p1qwZ3t7ebN269Tdz7dy5U/u4Xbp04ciR\nI9r7zpw5Q69evfDy8qJ169bMnTv3N0cjXF1d2bdvHwMGDMDDw4OePXty79497f137txh+PDhtGjR\nAm9vb+bMmUNxcTEA+/fvJzAwkOXLl+Pl5UVycvILj19YWMicOXPw9vbG29ub4OBgnj9/DpRtFLhk\nyRICAgLw8PCgf//+REdHa/9u+/bt+fbbbxk6dChNmjShT58+JCcnM3PmTJo2bUrnzp2JiYnRZmnf\nvj379+/Hz8+PJk2aMGvWrAr/7j179tCtWzc8PDzo1KkT33//vfa+4OBgFixYwJIlS2jZsiWtW7dm\ny5Yt2vtzc3OZPn06Pj4+eHl5MWrUKFJSUiqc64iICIKCgvD09GTgwIGkp6eTkZGBn58fkiTRqlUr\n9uzZ85vnVBAEQWdIgiAIwivt8uXLUuPGjaXbt29LkiRJ169fl1q0aKH9uWPHjtLnn38ulZaWSpmZ\nmVLXrl2llStXSpIkScnJyZKLi4s0ceJEKTc3V7p27Zrk4uIi9e3bV0pMTJQeP34stWnTRtq0aZMk\nSZI0c+ZMqWnTptLOnTul4uJi6eTJk1KDBg2kq1evSpIkSYMHD5aWLFkiSZIk/fTTT1LLli2l69ev\nS6WlpdLJkyelhg0bSvfv35dUKpXk6ekp7d69W9JoNFJ6errUu3dvaceOHb/6b3RxcZF69Ogh3b17\nVyooKJCCg4OlLl26SJIkSc+fP5d8fHykdevWScXFxdKjR4+k3r17S8uXL5ckSZL27dsnNWvWTFq+\nfLmkUqkkjUbzwuN/+umn0oABA6QnT55IWVlZ0oABA6T58+dLkiRJS5Yskbp16yYlJSVJxcXF0po1\na6RmzZpJOTk5kiRJUkBAgNStWzfp/v370tOnT6V27dpJfn5+0qlTp6SioiLpvffek8aMGaPN0rhx\nY+njjz+Wnj17JiUkJEi+vr5SSEiIJEmSdOrUKcnT01O6cOGCVFJSon3Ofv75Z+3z7+3tLe3bt09S\nqVTSjh07pIYNG0pZWVmSJEnSuHHjpLFjx0pZWVlSfn6+FBwcLA0YMKDCuR41apSUkZEhPX36VAoM\nDJQ+++wzSZIkKTIyUnJxcZEKCgr+6v+CgiAIbyQxIiQIgvCKy8/PB8DU1BQADw8PIiMjcXV1BSA0\nNJTJkyejVCqxtbWlTZs2xMbGVniMvn37YmFhQZMmTbC1tcXb2xtnZ2eqVatGo0aNePDggfZYW1tb\nBg4ciKGhoXaU5MSJEy/k2r17N3369MHDwwOlUklAQAA+Pj6EhoZSXFxMUVERpqamKBQK7Ozs2Lt3\nL4MGDfrNf2ePHj2oX78+ZmZmjB49msTERBISEjh9+jQlJSVMmDABQ0NDHBwcGDt2LAcOHND+3YKC\nAkaNGoWBgQEKhaLC40qSRGhoKMOHD6dq1apYW1vz6aef0rFjRwD27t3L6NGjqV27NoaGhowfPx6N\n5v+1d38hTb1/HMDfOXOtzZGWc6ltio3+wCIqqtWyhKAMaVNJklJaRDfGJGUDszttEtGFFsOQ0UVd\n9UeKiAgnXkSUIEVkLC/aQpnaouXsj9uc2/dCdn4u0+z7+/L9Bnu/rvacs/M8z3kEOR8/n/MYxZMn\nT4Q+ioqKUFhYiMzMTGzevBkKhQL79u2DWCzG7t27E9YvFArBbDZj+fLlKCgogNFoFNYvng3auXMn\nUlNTUVxcDJ1Oh0ePHgnXK5VKlJeXY+nSpTh48CCmpqYwNDSET58+oaenB2fPnkVGRgZkMhmsVite\nvXoFt9stXF9ZWQmFQoHMzEzs2LED7969m3fNiYiSWep/PQEiIlqYTqfDrl27UFJSgu3bt0Ov16Os\nrAwZGRkAgGfPnsFut8Pj8SASiWB6ehpbt25N6EOpVAqfxWIxsrOzE9qzS7cKCgoSrs3JyYHP55sz\nr6GhITx9+hQ3b94UjsViMaSnp0Mmk6G2thZWqxUOhwN6vR4GgwGFhYXz3ufscXNzcwEAPp8Pw8PD\nGB8fh1arTfh+NBoV5i2TySCXy3/a7+fPnzExMYG8vDzhmEajgUajQSAQwMTEBNauXSucS01NRW5u\nLrxer3Bs9erVwudfrZ9UKoVCoRDas9dveHgY27ZtS5ifWq2Gx+MR2rPnuWzZMgBAMBgUSv4qKioS\nrheJRBgdHYVarZ5zvUQiEUoIiYgoEQMhIqI/XFpaGjo6OvD27Vv09PSgq6sLnZ2duHXrFsLhMOrq\n6tDQ0ICqqipIJBLYbDa4XK6EPlJSUhZszxaNRhPasVhsTpYFmHlIr6urw+nTp3/az5kzZ3DkyBE4\nnU44nU44HA60tbUJmZgfTU9PJ4wJAEuWLIFYLEZBQUFC1uRHIpFo3nPxe433OdtCO6jNvud/av0W\ns2PbfH3Hg6Le3l6sWrVqzvn4u0ILzY2IiP6Hvy2JiP5wkUgEExMTWL9+PWpra3Hv3j2kp6eju7sb\nLpcLIpEIJpMJEokEwMzmCf+PHzcbGBkZSciAxKlUKgwODs75bjwQ8Pv9yM7OxrFjx3D9+nUcPnwY\nd+7cWdS48WyMUqmEWq2G1+sVNoAAZjYNiJcM/sqKFSsgl8sTyscGBwdx+/ZtrFy5ElKpNKF8LBQK\nwev1QqVSLar/H01OTuLjx49Ce/b6qVSqOaVqbrdbyOYsJC8vDyKRKGHNo9EoRkZG/tY8iYiSHQMh\nIqI/nMPhQHV1tfAXf4/Hg/HxcahUKqxZswbhcBgDAwP4+vUrrl69KjyIz86w/I6xsTHcvXsXU1NT\n6O3txevXr3+axamqqsLjx4/hdDoRiUTw4sULGI1G9PX14eXLl9i/fz/6+/sRi8Xg9/vh8XgWDC4e\nPHiA9+/f4/v37+js7IRGo4FarYZer0dWVhZsNhu+fPkCv98Pi8WC5ubmRd9TeXk5HA4HxsbGEAgE\n0NLSgoGBAaSkpMBgMKCzsxNerxfBYBDt7e2QSCTYs2fP31q/tLQ02O12TE5Owu124/79+8L6lZWV\n4eHDh+jv70ckEkF3dzeeP38Oo9H4y35lMhlKS0tx+fJleL1ehEIhXLlyBdXV1Yv6WcczSh6PR9gx\nj4gombE0jojoD2cymTA2NobKykp8+/YNWVlZOHXqlPBwfeLECZhMJojFYtTU1MBms+HkyZM4fvw4\nLl269Nvj6fV6vHnzBq2trRCJRGhsbJzzfg4w8+7SuXPn0Nraivr6euTk5MBisUCn0wEA6uvr0djY\niA8fPkAul6OoqAhms3necSsqKmC1WuFyuZCfn4+2tjYAM+/s2O12tLS0QK/XQyqVYu/evWhqalr0\nPTU0NCAcDqO0tFTYpMBisQAArFYrLly4gKqqKgSDQWi1Wty4cQNSqfR3lk0glUqxceNGHDhwAIFA\nAIcOHUJNTQ0AoKSkBKOjo2hqaoLP50N+fj7sdjs2bdq0qL7Pnz+P5uZmGAwGAIBWq8W1a9cWLA2M\n27BhA7Zs2YKjR4/CbDbPW9JIRJQslsR+VjRNRERJKf7/ddrb2//VcdetW4eOjg4UFxf/q+P+07q6\nunDx4kX09fX911MhIqJfYGkcERERERElHQZCRERERESUdFgaR0RERERESYcZISIiIiIiSjoMhIiI\niIiIKOkwECIiIiIioqTDQIiIiIiIiJIOAyEiIiIiIko6DISIiIiIiCjp/AVdAtZKzWoliQAAAABJ\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b7bec9150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def evaluate_models():\n",
    "    sizes = numpy.around( numpy.exp( numpy.arange(8, 16) ) ).astype('int')\n",
    "    n, m = sizes.shape[0], 20\n",
    "    \n",
    "    skl_predict, pom_predict = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    skl_fit, pom_fit = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    skl_error, pom_error = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    \n",
    "    for i in range(m):\n",
    "        for j, size in enumerate(sizes):\n",
    "            X, y = create_dataset( size, 5, 2 )\n",
    "            \n",
    "            pom = GeneralMixtureModel(MultivariateGaussianDistribution, n_components=2)\n",
    "            skl = GMM( n_components=2, n_iter=1 )\n",
    "            \n",
    "            # bench fit times\n",
    "            tic = time.time()\n",
    "            skl.fit( X )\n",
    "            skl_fit[i, j] = time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom.fit( X, max_iterations=1 )\n",
    "            pom_fit[i, j] = time.time() - tic\n",
    "\n",
    "            # bench predict times\n",
    "            tic = time.time()\n",
    "            skl_predictions = skl.predict( X )\n",
    "            skl_predict[i, j] = time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom_predictions = pom.predict( X )\n",
    "            pom_predict[i, j] = time.time() - tic\n",
    "        \n",
    "            # check number wrong\n",
    "            skl_e = (y != skl_predictions).mean()\n",
    "            pom_e = (y != pom_predictions).mean()\n",
    "\n",
    "            skl_error[i, j] = min(skl_e, 1-skl_e)\n",
    "            pom_error[i, j] = min(pom_e, 1-pom_e)\n",
    "    \n",
    "    fit = skl_fit / pom_fit\n",
    "    predict = skl_predict / pom_predict\n",
    "    plot(fit, predict, skl_error, pom_error, sizes, \"samples per component\")\n",
    "\n",
    "evaluate_models()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like pomegranate is faster in the fitting step for multivariate Gaussian mixture models and roughly the same speed for making predictions. The accuracy seems to be pretty much overlapping for these at near perfect.\n",
    "\n",
    "Lets see how the two models scale when changing the dimensionality of the data between 2 and 20 dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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//jgPP/ww55xzDh6Ph3vuuYfZs2cXO9/wYYBqy6PlkthHVXSfDSQGVKPHwxWN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lAAAg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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b78bb80d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7nCQJVL+nGlo9fV6Je+hEaXBQgkTKRmsI1oFLa9Qgs5QgkeBSNAUiQmdIibti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\nR6d8jgsvvBCrVq1Ce3s7GGO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YhBBCzuSHdkAheBWH3ujvk+oFtXi/9KUvIZlM4sknn8Rb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CAAAI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\nrpSZUAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b78bf3150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "numpy.set_printoptions(suppress=True, linewidth=200)\n",
    "\n",
    "def evaluate_models():\n",
    "    sizes = numpy.arange(2, 21).astype('int')\n",
    "    n, m = sizes.shape[0], 20\n",
    "    \n",
    "    skl_predict, pom_predict = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    skl_fit, pom_fit = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    skl_error, pom_error = numpy.zeros((m, n)), numpy.zeros((m, n))\n",
    "    \n",
    "    for i in range(m):\n",
    "        for j, size in enumerate(sizes):\n",
    "            X, y = create_dataset(50000, size, 2)\n",
    "            \n",
    "            pom = GeneralMixtureModel(MultivariateGaussianDistribution, n_components=2)\n",
    "            skl = GMM( n_components=2, n_iter=1 )\n",
    "            \n",
    "            # bench fit times\n",
    "            tic = time.time()\n",
    "            skl.fit( X )\n",
    "            skl_fit[i, j] = time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom.fit( X, max_iterations=1 )\n",
    "            pom_fit[i, j] = time.time() - tic\n",
    "\n",
    "            # bench predict times\n",
    "            tic = time.time()\n",
    "            skl_predictions = skl.predict( X )\n",
    "            skl_predict[i, j] = time.time() - tic\n",
    "\n",
    "            tic = time.time()\n",
    "            pom_predictions = pom.predict( X )\n",
    "            pom_predict[i, j] = time.time() - tic\n",
    "        \n",
    "            # check number wrong\n",
    "            skl_e = (y != skl_predictions).mean()\n",
    "            pom_e = (y != pom_predictions).mean()\n",
    "\n",
    "            skl_error[i, j] = min(skl_e, 1-skl_e)\n",
    "            pom_error[i, j] = min(pom_e, 1-pom_e)\n",
    "    \n",
    "    fit = skl_fit / pom_fit\n",
    "    predict = skl_predict / pom_predict\n",
    "    plot(fit, predict, skl_error, pom_error, sizes, \"dimensions\")\n",
    "\n",
    "evaluate_models()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "It seems as though both fitting and prediction using pomegranate scale less well than sklearn to more dimensions, but that it is stil faster. \n",
    "\n",
    "This notebook tested a main portion of the overlap between sklearn and pomegranate, but both offer clustering options which aren't displayed here. pomegranate allows any distribution or mixture of distributions, univariate or multivariate, and even some more complex models to be used as a component in the mixture model. The out of core API which pomegranate offers also extends to GMMs, allowing them to be trained using exact EM updates on data which can't fit in memory. In contrast, sklearn offers suppoort for both dirichlet process GMMs (DPGMMs) and variational Bayes GMMs (VBGMMs) as well, which are robust clustering models.\n",
    "\n",
    "We hope this has been useful to you! If you're interested in using pomegranate, you can get it using `pip install pomegranate` or by checking out the <a href=\"https://github.com/jmschrei/pomegranate\">github repo.</a>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
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 },
 "nbformat": 4,
 "nbformat_minor": 0
}
